Polynomial Functions and the Riesz Interpolation Property

Building on a proof by D. Handelman of a generalisation of an example due to L. Fuchs, we show that the space of real-valued polynomials on a non-empty set X of reals has the Riesz Interpolation Property if and only if X is bounded.

ARTICLE: Property and the Definition of Slavery

Currently there is no clear understanding of the meaning of ‘slavery’ in modern international law. While generally it is accepted that the
authoritative definition of slavery is provided by Article 1 of the Slavery Convention 1926, in recent times slavery has been understood in such a wide variety of ways that effectively it is a meaningless term. This paper reflects on this interpretation problem and aims to redress this balance by reclaiming the core meaning of the legal definition. It applies property law perspectives to explain the conception of ownership invoked by Article 1, to argue that it remains relevant and to explore how it might be applied in identifying modern cases of slavery.

Microwave Irradiation for the Facile Synthesis of Transition-Metal Nanoparticles (NPs) in Ionic Liquids (ILs) from Metal-Carbonyl Precursors and Ru-, Rh-, and Ir-NP/IL Dispersions as Biphasic Liquid-Liquid Hydrogenation Nanocatalysts for Cyclohexene

Stable chromium, molybdenum, tungsten, manganese, rhenium, ruthenium, osmium, cobalt, rhodium, and iridium metal nanoparticles (MNPs) have been reproducibly obtained by facile, rapid (3 min), and energysaving 10 W microwave irradiation (MWI) under an argon atmosphere from their metal–carbonyl precursors [Mx(CO)y] in the ionic liquid (IL) 1-butyl-3-methylimidazolium tetrafluoroborate ([BMIm][BF4]). This MWI synthesis is compared to UV-photolytic (1000 W, 15 min) or conventional thermal decomposition (180–2508C, 6–12 h) of [Mx(CO)y] in ILs. The MWIobtained nanoparticles have a very small (<5 nm) and uniform size and are prepared without any additional stabilizers or capping molecules as long-term stable M-NP/IL dispersions (characterization by transmission electron microscopy (TEM), transmission electron diffraction (TED), and dynamic light scattering (DLS)). The ruthenium, rhodium, or iridium nanoparticle/IL dispersions are highly active
and easily recyclable catalysts for the biphasic liquid–liquid hydrogenation of cyclohexene to cyclohexane with activities of up to 522 (mol product)(mol Ru)1h1 and 884 (mol product)(molRh)1h1 and give almost quantitative conversion within 2 h at 10 bar H2 and 908C. Catalyst poisoning experiments with CS2 (0.05 equiv per Ru) suggest a heterogeneous surface catalysis of RuNPs.

Microwave-assisted Cu-catalyzed Ullmann ether synthesis in a continuous-flow milli-plant

The combination of milli-scale processing and microwave heating has been investigated for the Cu-catalyzed Ullmann etherification in fine-chemical synthesis, providing improved catalytic activity and selective catalyst heating. Wall-coated and fixed-bed milli-reactors were designed and applied in the Cu-catalyzed Ullmann-type CO coupling of phenol and 4-chloropyridine. In a batch reactor the results show clearly increased yields for the microwave heated process at low microwave powers, whereas high powers and catalyst loadings reduced the benefits of microwave heating. Slightly higher yields were found in the Cu/ZnO wall-coated as compared to the Cu/TiO fixed-bed flow-reactor. The benefit here is that the reaction occurs at the surface of the metal nanoparticles confined within a support film making the nano-copper equally accessible. Catalyst deactivation was mainly caused by Cu oxidation and coke formation; however, at longer process times leaching played a significant role. Catalyst activity could partially be recovered by removal of deposited by-product by means of calcination. After 6h on-stream the reactor productivities were 28.3 and 55.1kgprod/(mR3h) for the fresh Cu/ZnO wall-coated and Cu/TiO fixed-bed reactor, respectively. Comparison of single- and multimode microwaves showed a threefold yield increase for single-mode microwaves. Control of nanoparticles size and loading allows to avoid high temperatures in a single-mode microwave field and provides a novel solution to a major problem for combining metal catalysis and microwave heating. Catalyst stability appeared to be more important and provided twofold yield increase for the CuZn/TiO catalyst as compared to the Cu/TiO catalyst due to stabilized copper by preferential oxidation of the zinc. For this catalyst a threefold yield increase was observed in single-mode microwaves which, to the best of our knowledge, led to a not yet reported productivity of 172kgprod/(mR3h) for the microwave and flow Ullmann CO coupling. © 2012 Elsevier B.V.

The City as Laboratory and the Urban-Rural Divide: the Revival of Private Property and its Limits in Post-Mao China

This paper focuses on the revival of private property and its limits in urban China. It explores the emergence of urban property markets; urban property-holding in relation to the complexity of urban governance; “minor property rights apartments” that form a de facto real estate market and cross over the urban-rural divide; the “grey areas” of blurring legal and administrative boundaries in modern China; and recent changes to the rural land system and the rural-urban divide. The conclusion flags the theme of the city as laboratory with regard to the blurring legal and governmental urban-rural distinction.

Possession Taken by Theft and the Original Acquisition of Personal Property Rights

This paper queries the soundness of the view that wrongful possession (eg a thief’s possession of goods he has stolen) should be protected by the standard actions for interference with goods. It uses close historical analysis of the development of the relevant concepts through the cases to argue that this is not a proposition that is compelled on the authorities, nor one demanded as a matter of principle. It then abstracts to consider the implications of this argument at a theoretical level, exposing great need for development in the common law’s basic principles of possessory protection. It argues innovatively that the objects of the law might be better served by the creation of a more limited form of possessory protection, achieved through the possessor’s acquisition of a personal right, and correlatively that the values that underpin and justify our basic rules of possessory protection entail a more nuanced response to matters of property acquisition.

Rotman Lens Used as a Demultiplexer/Multiplexer

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A new type of microwave demultiplexer is proposed which combines an arrayed waveguide grating (AWG) and a Rotman lens. The dispersion property of an AWG is employed to produce different phase slope responses for different frequencies, while the Rotman lens routes the frequency components onto different ports. To optimize isolation performance, the design constraints of both the AWG and the Rotman lens are re-examined and new design criteria elaborated. The optimized design is demonstrated of being capable of achieving 15 dB channel isolation over a 25% band range centered at 10 GHz. While a design based on a conventional Rotman lens yields isolation level of around 6 dB over a 9% band range centered at 10GHz.

The Revival of Private Property and Its Limits in Post-Mao China

This monograph examines the nature and significance of the re-emergence of private property in rapidly changing post-Mao China.

In examining this issue, the study explores a key dichotomy in Chinese law, that is, ‘public versus private’, and examines the manner in which the Chinese define ownership. The study stresses the importance of lack of clarity in the boundaries between the public and the private in property rights.

While there is a limited move towards the recognition of private property in real estate in contemporary China, this analysis also shows that ownership in the law, and ownership as understood and practised socially, often diverge significantly.

From the Qing dynasty reforms of the late nineteenth century onwards, ‘modernist’ law and entrenched social practice have often opposed each other. In contrast to the official, and indeed legal, support for unitary and exclusive property rights, the reality of the property regime has been a fragmentation of property rights. ‘Modern’ conceptions and theories of property rights emerged in the context of nation-building from the late Qing onwards, and unitary and exclusive property rights were considered as ‘badges’ of modernity.

These conceptions and theories served (and still serve) the purposes of control and governance but were, and still are, often resisted in social practice and popular thinking, leading to alienation and conflict. As a result, analysis of the nature and the social and political implications of re-emerging private property rights provides important insights for our understanding of the changing nature of modern China.