Results 51 to 60 of about 461,348 (110)
Jordan operator algebras: basic theory [PDF]
, 2017 Jordan operator algebras are normâclosed spaces of operators on a Hilbert space which are closed under the Jordan product. The discovery of the present paper is that there exists a huge and tractable theory of possibly nonselfadjoint Jordan operator ...
D. Blecher, Zhenhua Wang
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The mathematical legacy of William Arveson [PDF]
arXiv, 2012 This is a retrospective of some of William Arveson's many contributions to operator theory and operator algebras.
arxiv
Semigroup homomorphisms on matrix algebras [PDF]
arXiv, 2017 We explore the connection between ring homomorphisms and semigroup homomorphisms on matrix algebras over rings or $C^*$-algebras.
arxiv
Boundary Representations for Operator Algebras [PDF]
arXiv, 2001 All operator algebras have (not necessarily irreducible) boundary representations. A unital operator algebra has enough such boundary representations to generate its C*-envelope.
arxiv
Fuglede-Putnam theorem for locally measurable operators [PDF]
arXiv, 2016 We extend the Fuglede-Putnam theorem from the algebra $B(H)$ of all bounded operators on the Hilbert space $H$ to the algebra of all locally measurable operators affiliated with a von Neumann algebra.
arxiv
Jordan maps and triple maps on algebras of unbounded operators [PDF]
arXiv, 2005 The paper contains results on the structure of Jordan maps and several kinds of triple maps on standard algebras of unbounded operators in Hilbert spaces. These results are unbounded counterparts to results on algebras of bounded operators obtained by Lu, Moln\'ar and others ([3,4,6 -- 10]).
arxiv
Similarity problems and length [PDF]
arXiv, 2000 This is a survey of the author's recent results on the Kadison and Halmos similarity problems and the closely connected notion of ``length'' of an operator algebra.
arxiv
Extension of positive maps [PDF]
arXiv, 2018 We prove two extension theorems for positive maps from operator systems into matrix ...
arxiv
The Calkin algebra has outer automorphisms [PDF]
arXiv, 2006 Assuming the continuum hypothesis, we show that the Calkin algebra has 2^{aleph_1} outer automorphisms.
arxiv
, 2013 Quantum tori are limits of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity, a metric defined by the author as a strengthening of Rieffel's quantum Gromov-Hausdorff designed to retain the C*-algebraic structure.
Latremoliere, Frederic
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