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Showing 1 to 13 of 13 for “"operator space"”.
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Strong Ordering in the Self Adjoint Operator Space
Made available in DSpace on 2014-12-05T21:50:00Z (GMT). No. of bitstreams: 1 0006916.pdf: 2740465 bytes, checksum: cb28ddcdfb5785816f88611e4ef10912 (MD5) Previous issue date: 1953
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On Some Classical Banach Space Concepts in Operator Space Theory
… demonstrated recently that the nth-dimensional operator Hilbert space OHn is a subspace of an operator space which is completely isomorphic to a completely complemented subspace of a non-commutative Lp space over a QWEP separable type III factor. Using this, we proved that the completely …
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On the Operator Space UMD Property and Non-Commutative Martingale Inequalities
… of interpolation. We discuss the appropriate operator space matrix norms and show that these interpolation results hold in the category of operator spaces. We apply further interpolation techniques to the study of the operator space UMD property, introduced by Pisier in the context of …
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On p-operator spaces and their applications
… if and only if the Fourier algebra A(G) of G is operator amenable. Motivated by Ruan's work, we want to study G through tools from p-operator spaces. We _rst introduce the p-operator space and various p-operator space tensor products. We then study p-operator space approximation property and …
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Operator Algebras and Abstract Classification
This dissertation is dedicated to the study of operator spaces, operator algebras, and their automorphisms using methods from logic, particularly descriptive set theory and model theory. The material is divided into three main themes. The first one concerns the notion of Polish groupoids and …
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A Systematic Study of Injective Envelopes
We explore functors between operator space categories, some properties of these functors, and establish relations between objects in these categories and their images under these functors, in particular regarding injectivity and injective envelopes. We also compare the purely categorical definition …
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On Completely Bounded Multipliers of the Fourier Algebra A(G)
… we introduce the uniformly complete quotient space UCQ(G) of a locally compact group G, which is the analogous object of UCB( G&d14; ) in the non-amenable case. It is shown that the operator space dual UCQ(G)* is a completely contractive Banach algebra and we prove that UCQ(G)* embeds …
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Tensor Products and Factorizations of Operator Systems
In this dissertation, we start by studying the operator system maximal tensor product, called max, in [17] from different perspectives. One approach is by the factorization technique used in Banach spaces [11] and operator spaces [5, 31]. Although in [14] it was used in establishing the operator …
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Entanglement Breaking Channels in Quantum Information
… for such channels. We further consider the nullspace structure of entanglement breaking channels, in particular proving that every operator space of trace zero matrices is the nullspace of such a channel. We connect the nullspace of entanglement breaking channels with private subspaces and …
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Cohomological dimension for C*-algebras
… dimensions for associated categories of operator space modules. The setting of exact categories provides us with a robust framework to utilise homological techniques.<br/><br/>We develop initial global dimension theorems for two of these categories. In the additive category of operator …
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Free products of operator spaces and free Markov processes
… free product is introduced in the framework of operator spaces. Under the construction, the free product of preduals of von Neumann algebras agrees with the predual of the free product of von Neumann algebras. This answers a question asked by Effros affirmatively. An example is presented to show …
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Non commutative version of arithmetic geometric mean inequality and crossed product of ternary ring of operators
… moments of convex bodies, and freely independent operators. The second part is about a ternary ring of operators (TRO). After giving a quick survey for the work of Todorov on the operator space version of Zettl's decomposition theorem, we introduce crossed products of ternary ring of operators …
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Smoothing estimates for non commutative spaces
… the Sobolev embedding from noncommutative $L_p$ spaces to general Orlicz function spaces related with Cowling and Meda's work. Also we will show some examples to illustract the relation between the Orlicz function, dispersive estimate on semigroup $T_t$ and general resolvent formula on the …