Results 11 to 20 of about 30,076 (88)

Morita embeddings for dual operator algebras and dual operator spaces

open access: yes, 2017
We define a relation < for dual operator algebras. We say that B < A if there exists a projection p in A such that B and pAp are Morita equivalent in our sense.
Eleftherakis, G. K.
core   +1 more source

Relating Operator Spaces via Adjunctions [PDF]

open access: yes, 2012
This chapter uses categorical techniques to describe relations between various sets of operators on a Hilbert space, such as self-adjoint, positive, density, effect and projection operators. These relations, including various Hilbert-Schmidt isomorphisms
Jacobs, Bart, Mandemaker, Jorik
core  

On non-adjointable semi-Weyl and semi-B-Fredholm operators over C*-algebras

open access: yes, 2021
We extend further semi-A-Fredholm theory by generalizing the results from classical semi-Weyl theory on Hilbert spaces. Moreover, we obtain an analogue of the results from [17] in the setting of non-adjointable operators.
Ivkovic, Stefan
core  

Noncommmutative theorems: Gelfand Duality, Spectral, Invariant Subspace, and Pontryagin Duality [PDF]

open access: yes, 2005
We extend the Gelfand-Naimark duality of commutative C*-algebras, "A COMMUTATIVE C*-ALGEBRA -- A LOCALLY COMPACT HAUSDORFF SPACE" to "A C*-ALGEBRA--A QUOTIENT OF A LOCALLY COMPACT HAUSDORFF SPACE".
Patel, Mukul S.
core  

Stable isomorphism and strong Morita equivalence of operator algebras [PDF]

open access: yes, 2016
We introduce a Morita type equivalence: two operator algebras $A$ and $B$ are called strongly $\Delta $-equivalent if they have completely isometric representations $\alpha $ and $\beta $ respectively and there exists a ternary ring of operators $M$ such
Eleftherakis, G. K.
core  

Applications of operator space theory to nest algebra bimodules

open access: yes, 2011
Recently Blecher and Kashyap have generalized the notion of W* modules over von Neumann algebras to the setting where the operator algebras are \sigma- weakly closed algebras of operators on a Hilbert space.
Eleftherakis, G. K.
core  

Commutants of von Neumann Correspondences and Duality of Eilenberg-Watts Theorems by Rieffel and by Blecher

open access: yes, 2005
The category of von Neumann correspondences from B to C (or von Neumann B-C-modules) is dual to the category of von Neumann correspondences from C' to B' via a functor that generalizes naturally the functor that sends a von Neumann algebra to its ...
Skeide, M.
core   +1 more source

Factorization of operators on $C^*$-algebras

open access: yes, 1997
Let $A$ be a $C^*$-algebra. It is shown that every absolutely summing operator from $A$ into $\ell_2$ factors through a Hilbert space operator that belongs to the 4-Schatten- von Neumann class.
Randrianantoanina, Narcisse
core   +1 more source

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