Rota's universal operators and invariant subspaces in Hilbert spaces

A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces. We exhibit an analytic Toeplitz operator whose adjoint is universal in the sense of Rota and commutes with a quasi-nilpotent injective compact operator with dense range. In particular, this new universal operator invites an approach to the Invariant Subspace Problem that uses properties of operators that commute with the universal operator.

Equivalent norms in polynomial spaces and applications.

In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy Littlewood constants for 2-homogeneous polynomials on l(p)(2) spaces, 2 < p <= infinity. We also provide lower estimates for the Hardy-Littlewood constants for polynomials of higher degrees.

Book review. Educators, professionalism and politics : global transitions, national spaces and professional projects : world yearbook of education 2013

Book review of Educators, professionalism and politics: global transitions, national spaces and professional projects. World Yearbook of Education 2013, edited by Terri Seddon and John S. Levin, New York and Oxon, Routledge, 2013, ISBN 978-0-415-52914-3.

Religion and development in the Asia-Pacific : sacred places as development spaces

The book considers theories of ‘place’ as a component of successful development interventions and expands this analysis to consider the specific role that sacred places – buildings and social networks – have in planning, implementing and promoting sustainable development. A series of case studies examine various sacred places as sites for development activities. These case studies include Christian churches and disaster relief in Vanuatu; Muslim shrines and welfare provision in Pakistan; a women’s Buddhist monastery in Thailand advancing gender equity; a Jewish aid organisation providing language training to Muslim Women in Australia; and Hawaiian sacred sites located within a holistic retreat centre committed to ecological sustainability.Religion and Development in the Asia-Pacific demonstrates the important role that sacred spaces can play in development interventions, covering diverse major world religions, interfaith and spiritual contexts, and as such will be of considerable interest for postgraduate students and researchers in development studies, religious studies, sociology of religion and geography.

Middle-class school choice in urban spaces: the economics of public schooling and globalized education reform

Middle-class School Choice in Urban Spaces examines government-funded public schools from a range of perspectives and scholarship in order to examine the historical, political and economic conditions of public schooling within a globalized, post-welfare context. In this book, Rowe argues that post-welfare policy conditions are detrimental to government-funded public schools, as they engender consistent pressure in rearticulating the public school in alignment with the market, produce tensions in serving the more historical conceptualizations of public schooling, and are preoccupied by contemporary profit-driven concerns.Chapters focus on public schooling from different global perspectives, with examples from Chile and the US, to examine how various social movements encapsulate ideologies around public schooling. Rowe also draws upon a rich, five-year ethnographic study of campaigns lobbying the Victorian State Government in Australia for a brand-new, local-specific public school. Critical attention is paid to the public school as a means to achieve empowerment and overcome discrimination, and both a local and global lens are used to identify how parents choose the public school, the values they attach to it, and the strategies they use to obtain it. Also considered, however, are how quality gaps, distances and differences between public schools threaten to undermine the democracy of education as a means for individuals to be socially mobile and escape poverty.This book makes an important contribution to our understanding of global social movements and activism around public education. As such, it will be of key interest to researchers, academics and postgraduate students in the field of education, specifically those working on school choice, class and identity, as well as educational geography.

Unsettling creativity: intercultural spaces, study abroad and internationlization beyond the curriculum

This chapter argues that short-term student Study Tours, coupled with preparatory and reflective classes on the home campus, are a more successful way of internationalizing the curriculum and promoting intercultural reflection than the more traditional, longer term student exchange. This is because taking students out of their comfort zones to travel overseas in a study intensive promotes greater ‘productive discomfort’ while supporting this process with classes on the home campus promotes its life changing effects.This chapter draws on two important Study Tours in Creative Writing and Creative and Commercial Entrepreneurship at Deakin University, Australia. The first is an outbound Study Tour to the United States and the second is an inbound Study Tour from India. These Study Tours foreground an important ‘unsettling’ of creativity that impacts on the students’ thinking and writing processes, and prepares them most effectively for their role as global citizens.

Prioritizing social and moral learning amid conservative curriculum trends: spaces of possibility

Conservative trends across western schooling contexts are signalling an explicit devaluing of social and moral learning within their official curriculum mandates. These mandates are increasingly privileging the ‘academic rigour’ of traditional subject disciplines. This paper draws on interview and observation data from a case study of a large and highly diverse English secondary school to explore this school’s prioritizing of social and moral learning. Such prioritizing is supported at this school by its ‘Academy’ status—which in the English context allows schools a measure of freedom over curriculum as part of broader government moves to increase school autonomy. The paper’s focus is on how these conservative trends are understood and disrupted to support a critical view of existing curriculum and a desire to modify and re-shape it to support more relevant and connected learning for students. The paper describes particular examples of practice at the school in the areas of Citizenship and Religious Education to illustrate this approach. Engaging with social and moral learning along these lines is argued as productive in working within and against the constraints of current conservative curriculum priorities.

Mobilising spaces of agency through genealogies of race and gender: issues of indigeneity, marginality and schooling

This article presents data from a case study of a non-traditional secondary school for Indigenous girls located in a suburban area of Queensland (Australia). The focus is predominantly on the identity and practices of Nicole who is one of the school’s teachers. Nicole’s identity as an Indigenous woman and teacher and the school’s approach to supporting its marginalised students are theorised in relation to particular elements of feminist genealogy. These elements are associated with the possibilities for agency opened up through the subject’s critical reflection on, and resistance of, the discursive relations that constitute the self. The article draws on feminist theories to explicate the potential of such reflection and resistance to disrupt and transform gendered and racist norms and to legitimise alternative constructions of female indigeneity – to that represented in dominant colonial discourse.

Feminist struggles to mobilise progressive spaces within the ‘boy-turn’ in gender equity and schooling reform

This article presents the stories of two Australian feminist educators, ‘Kath’ and ‘Kim’. Drawn from a small‐scale interview‐based study, the stories highlight these women’s struggles to mobilise progressive spaces within the current boy‐focused equity and schooling agenda. Such struggles are located within the new possibilities for feminist intervention enabled by current educational trends in Australia. The stories focus on Kath and Kim’s experiences leading the professional development of teachers from several schools in Queensland (Australia) as part of the $19.4 million national initiative, Success for Boys. The article draws on feminist understandings of ‘progressive’ spaces and highlights the requisite conditions necessary for mobilising such spaces. In particular, Kath and Kim’s stories bring to light the powerful role emotions continue to play in both enabling and constraining gender reform and the continued significance of attending to, and working with, such emotions to enhance the pursuit of gender justice in schools.

Lighting ambiances and materialities of wood in architecture: a comparative evaluation of the quality of spaces in relation to interior finishes

Le bois est un matériau souvent utilisé par les architectes pour améliorer l’ambiance générale d’un espace, mais peu de recherches en présentent l’impact réel du matériau sur les impressions visuelles et les effets lumineux. Cette recherche étudie l’influence de la matérialité du bois par rapport à la création d’ambiances d’éclairage spécifiques dans l’architecture. Plus particulièrement, elle se concentre sur l’impact des panneaux décoratifs en bois à générer de la diversité lumineuse dans les espaces intérieurs et son potentiel à améliorer la satisfaction environnementale et l’efficacité énergétique. La recherche utilise des maquettes à l’échelle pour leur précision dans la représentation des ambiances lumineuses d’espaces éclairés naturellement ainsi que les technologies récentes d’imagerie digitale pour capturer et analyser les résultats. La méthodologie permet la comparaison entre les différents réglages des espaces intérieurs créés par une sélection des types de matérialités du bois: la réflectance (valeur), la couleur et la réflectivité. Les modalités spatiales sont comparées en présence d’ensoleillement direct et sous des conditions de ciel couvert puisque les modèles d’éclairage et les ambiances diffèrent considérablement. Les résultats permettent d’établir une discussion sur les ambiances en termes de brillance et de contraste, sur la couleur ainsi que la répartition des zones lumineuses dans l’espace. La recherche souligne le rôle des matérialités que peuvent prendre le bois pour optimiser la diversité lumineuse et la création d’ambiances visuellement confortables, ainsi que ses possibilités d’améliorer les ambiances architecturales par rapport à la lumière.

Brucite Microbialites in Living Coral Skeletons: Indicators of Extreme Microenvironments in Shallow-Marine Settings

Brucite [Mg(OH)2] microbialites occur in vacated interseptal spaces of living scleractinian coral colonies (Acropora, Pocillopora, Porites) from subtidal and intertidal settings in the Great Barrier Reef, Australia, and subtidal Montastraea from the Florida Keys, United States. Brucite encrusts microbial filaments of endobionts (i.e., fungi, green algae, cyanobacteria) growing under organic biofilms; the brucite distribution is patchy both within interseptal spaces and within coralla. Although brucite is undersaturated in seawater, its precipitation was apparently induced in the corals by lowered pCO2 and increased pH within microenvironments protected by microbial biofilms. The occurrence of brucite in shallow-marine settings highlights the importance of microenvironments in the formation and early diagenesis of marine carbonates. Significantly, the brucite precipitates discovered in microenvironments in these corals show that early diagenetic products do not necessarily reflect ambient seawater chemistry. Errors in environmental interpretation may arise where unidentified precipitates occur in microenvironments in skeletal carbonates that are subsequently utilized as geochemical seawater proxies.

Passive solar systems for heating, daylighting and ventilation for rooms without an equator-facing facade

Spaces without northerly orientations have an impact on the ‘energy behaviour’ of a building. This paper outlines possible energy savings and better performance achieved by different zenithal solar passive strategies (skylights, roof monitors and clerestory roof windows) and element arrangements across the roof in zones of cold to temperate climates typical of the central and central-southern Argentina. Analyses were undertaken considering daylighting, thermal and ventilation performances of the different strategies. The results indicate that heating,ventilation and lighting loads in spaces without an equator-facing facade can be significantly reduced by implementing solar passive strategies. In the thermal aspect, the solar saving fraction reached for the different strategies were averaged 43.16% for clerestories, 41.4% for roof monitors and 38.86% for skylights for a glass area of 9% to the floor area. The results also indicate average illuminance levels above 500 lux for the different clerestory and monitor arrangements, uniformity ratios of 0.66–0.82 for the most distributed arrangements and day-lighting factors between 11.78 and 20.30% for clear sky conditions, depending on the strategy. In addition, minimum air changes rates of 4 were reached for the most extreme conditions.