Results 11 to 20 of about 46 (46)
On the operator equation α + α−1 = β + β−1
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 767-770, 1986., 1986 Let α, β be ∗‐automorphisms of a von Neumann algebra M satisfying the operator equation α + α−1 = β + β−1. In this paper we use new techniques (which are useful in noncommutative situations as well) to provide alternate proofs of the results:‐ If α, β commute then there is a central projection p in M such that α = β on MP and α = β−1 on M(1 − P); If M =
A. B. Thaheem
wiley +1 more source
Classification of injective factors: The wok of Alain Connes
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 1-39, 1983., 1983 The fundamental results of A. Connes which determine a complete set of isomorphism classes for most injective factors are discussed in detail. After some introductory remarks which lay the foundation for the subsequent discussion, an historical survey of some of the principal lines of the investigation in the classification of factors is presented ...
Steve Wright
wiley +1 more source
On the range of completely bounded maps
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 2, Page 209-215, 1978., 1978 It is shown that if every bounded linear map from a C*‐algebra α to a von Neumann algebra β is completely bounded, then either α is finite‐dimensional or β⫅𝒞 ⊗ Mn, where 𝒞 is a commutative von Neumann algebra and Mn is the algebra of n × n complex matrices.
Richard I. Loebl
wiley +1 more source
Survey of India Topo sheet 46L10 1979 1st edition
, 1979 Survey of India Topo sheet 46/L10 1979 1st ...
Survey of India
core +1 more source
Elementary equivalence and disintegration of tracial von Neumann algebras
Forum of Mathematics, SigmaWe prove an analog of the disintegration theorem for tracial von Neumann algebras in the setting of elementary equivalence rather than isomorphism, showing that elementary equivalence of two direct integrals of tracial factors implies fiberwise ...
David Gao, David Jekel
doaj +1 more source
Derivations and Extensions in JC‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.A well‐known result by Upmeier states that every derivation on a universally reversible JC‐algebra A⊆B(H)sa extends to the C∗‐algebra [A] generated by A in B(H). In this paper, we significantly strengthen this result by proving that every Jordan derivation on a universally reversible JC‐algebra A extends to ∗‐derivations on its universal enveloping ...
Fatmah B. Jamjoom +2 more
wiley +1 more source
A metric space associated with probability space
, 1993 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 277-282, 1993.
Keith F. Taylor, Xikui Wang
wiley +1 more source
Asymptotic freeness in tracial ultraproducts
Forum of Mathematics, SigmaWe prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$ , $u_2 \in ...
Cyril Houdayer, Adrian Ioana
doaj +1 more source
Nuclear JC‐algebras and tensor products of types
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 717-723, 1993.
Fatmah B. Jamjoom
wiley +1 more source
Quantum injectivity of G-frames in Hilbert spaces
Demonstratio MathematicaInspired by some recent work on the quantum detection problem by discrete frames and continuous frames, in this article, we examine the quantum detection problem with G-frames.
Hong Guoqing, Wan Linbin, Zhang Jianxia
doaj +1 more source