61 resultados para Bessel and Besov Spaces


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In the present paper we prove several results on the stratifiability of locally convex spaces. In particular, we show that a free locally convex sum of an arbitrary set of stratifiable LCS is a stratifiable LCS, and that all locally convex F'-spaces whose bounded subsets are metrizable are stratifiable. Moreover, we prove that a strict inductive limit of metrizable LCS is stratifiable and establish the stratifiability of many important general and specific spaces used in functional analysis. We also construct some examples that clarify the relationship between the stratifiability and other properties.

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Chemical species can serve as inputs to supramolecular devices so that a luminescence output is created in a conditional manner. Conditionality is built into these devices by employing the classical photochemical process of photoinduced electron transfer (PET) to compete with luminescence emission. The response of these devices in the analogue regime leads to sensors that can operate in nanometric, micrometric, and millimetric spaces. Some of these devices serve in membrane science, cell physiology, and medical diagnostics. The response in the digital regime leads to Boolean logic gates. Some of these find application in improving aspects of medical diagnostics and in identifying small objects in large populations.

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We continue our study of tensor products in the operator system category. We define operator system quotients and exactness in this setting and refine the notion of nuclearity by studying operator systems that preserve various pairs of tensor products. One of our main goals is to relate these refinements of nuclearity to the Kirchberg conjecture. In particular, we prove that the Kirchberg conjecture is equivalent to the statement that every operator system that is (min,er)-nuclear is also (el,c)-nuclear. We show that operator system quotients are not always equal to the corresponding operator space quotients and then study exactness of various operator system tensor products for the operator system quotient. We prove that an operator system is exact for the min tensor product if and only if it is (min,el)-nuclear. We give many characterizations of operator systems that are (min,er)-nuclear, (el,c)-nuclear, (min,el)-nuclear and (el,max)-nuclear. These characterizations involve operator system analogues of various properties from the theory of C*-algebras and operator spaces, including the WEP and LLP.

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The paper addresses two connected questions: firstly, in what ways might ‘public’ and ‘private’ spaces in cities be gendered; and secondly, what might this mean for the possibilities for complex forms of civility in a divided city such as Belfast? The specific focus on gendered dynamics of entitlement to inhabit urban space in this paper begins with some consideration of debates about the quality and experience of everyday life in cities, and the emergence of commonsense notions of ‘public’ and ‘private’ behaviour. Following this, key research concerned with the gendered dynamics of claimed collective, and particularly national, identities are outlined, in order to consider the significance of this literature for any study of the gender dynamics of life in a contested political context such as Belfast.

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The papers in this special issue focus on the topic of location awareness for radio and networks. Localization-awareness using radio signals stands to revolutionize the fields of navigation and communication engineering. It can be utilized to great effect in the next generation of cellular networks, mining applications, health-care monitoring, transportation and intelligent highways, multi-robot applications, first responders operations, military applications, factory automation, building and environmental controls, cognitive wireless networks, commercial and social network applications, and smart spaces. A multitude of technologies can be used in location-aware radios and networks, including GNSS, RFID, cellular, UWB, WLAN, Bluetooth, cooperative localization, indoor GPS, device-free localization, IR, Radar, and UHF. The performances of these technologies are measured by their accuracy, precision, complexity, robustness, scalability, and cost. Given the many application scenarios across different disciplines, there is a clear need for a broad, up-to-date and cogent treatment of radio-based location awareness. This special issue aims to provide a comprehensive overview of the state-of-the-art in technology, regulation, and theory. It also presents a holistic view of research challenges and opportunities in the emerging areas of localization.

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The home visit is at the heart of social work practice with children and families; it is what children and families' social workers do more than any other single activity (except for recording), and it is through the home visit that assessments are made on a daily basis about risk, protection and welfare of children. And yet it is, more than any other activity, an example of what Pithouse has called an ‘invisible trade’: it happens behind closed doors, in the most secret and intimate spaces of family life. Drawing on conceptual tools associated with the work of Foucault, this article sets out to provide a critical, chronological review of research, policy and practice on home visiting. We aim to explain how and in what ways changing discourses have shaped the emergence, legitimacy, research and practice of the social work home visit to children and families at significant time periods and in a UK context. We end by highlighting the importance for the social work profession of engagement and critical reflection on the identified themes as part of their daily practice.

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Abstract

Culture has always been important for the character of the cities, as have the civic and public institutions that sustain a lifestyle and provide an identity. Substantial evidence of the unique historical, urban civilisation remains within the traditional settlements in the Kathmandu Valley in Nepal; manifested in houses, palaces, temples, rest houses, open spaces, festivals, rituals, customs and cultural institutions. Indigenous knowledge and practices prescribed the arrangement of houses, roads and urban spaces giving the city a distinctive physical form, character and a unique oriental nativeness. In technical sense, these societies did not have written rules for guiding development. In recent decades, the urban culture of the city has been changing with the forces of urbanisation and globalisation and the demand for new buildings and spaces. New residential design is increasingly dominated by distinctive patterns of Western suburban ideal comprising detached or semi-detached homes and high rise tower blocks. This architectural iconoclasm can be construed as a rather crude response to the indigenous culture and built form. The paper attempts to dismantle the current tension between traditional and contemporary ‘culture’ (and hence society) and housing (or built form) in the Kathmandu Valley by engaging in a discussion that cuts across space, time and meaning of architecture as we know it.

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The study of citizenship has increasingly focused on the ways in which spatialized understandings of the concept can be used to marginalise and exclude social groups: exclusive constructions of national boundaries, local neighbourhoods and public spaces can deny marginalised groups their social and political rights. Less attention has been paid to how constructions of place can accommodate different groups’ rights and promote peaceful coexistence. This is particularly important in locations where migration disrupts existing understandings (‘lay theories’) of the relationship between residency, identity and collective rights. The present research examines how spatialized understandings of citizenship shape perceptions of intergroup mixing in previously segregated areas of a post-conflict society. Critical Discursive Social Psychological (CDSP) analysis of 30 interviews with long-term residents and recent migrants to increasingly mixed areas of Belfast shows that, while all pa
rticipants acknowledged Northern Ireland’s territorialisation, different lay theories of citizenship underpin the possibility and desirability of intergroup coexistence. Long-term residents drew upon understandings of the negative citizenry of the outgroup to argue against the possibility of peaceful coexistence within their locale, while recent incomers gave evidence of their own experiences of good citizenship within the shared spaces of neighbourhood to demonstrate that this could and should be achieved. The implications of lay theories of citizenship for the study of residential migration and mixing are discussed

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Arising from the Paris surrealist group, the English-born writer and painter Leonora Carrington (England 1917 - Mexico 2011) was perpetually suspicious of orthodoxy and she often pokes fun at, parodies, and, ultimately, upsets traditional hierarchies of power. In her work animals impart wisdom, Goddesses loom large, and domestic spaces become sites of occult power. In this paper I will investigate Carrington's suspicion of gurus with claims to esoteric truth. Carrington participated in Fourth Way groups run by students of Gurdjieff (Christopher Fremantle) and Ouspensky (Rodney Collin). However, while she had a deep interest in the teachings, Carrington remained suspicious of the group practices of the Fourth Way, as can be seen in Elena Poniatowska’s fictionalised biography Leonora (2015). This articles explores Carrington's contact with the ‘Work’ in order to shed light on the character of Dr. Gambit in her 1950 novel, The Hearing Trumpet, commonly thought to be a parody of Gurdjieff. In doing so, it will investigate Carrington’s feminist objections to the role of the guru, while also contributing to a discussion of the unease some felt toward the praxis of the Fourth Way, despite their attraction to the philosophy.

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This paper aims at investigating architectural and urban heritage from the socio-cultural point of view, which stands on the human asset of traditional sites such as the hawari of old Cairo. It analyzes the social practice of everyday life in one of the oldest Cairene hawari, Haret al-Darb al-Asfar. The focus is on architectural and spatial organization of outdoor and indoor spaces that coordinate the spatial practices of local community. A daily monitoring of people’s activities and interviews was conducted in an investigation of how local people perceive their built environment between the house’s interior and the outdoor shared space. It emerges that people construct their own field of private spheres according to complex patterns of daily activities that are not in line with the classical segregation between private and public in Islamic cities. This paper reports that the harah is basically a construct of social spheres that are organized spatially by the flexible development of individual buildings over time and in response to changes in individuals’ needs and capabilities. In order to achieve sustainability in old urban quarters, the paper concludes, the focus should be directed towards the local organization of activities and a comprehensive upgrading of deteriorating buildings to match the changing needs of current population.