Results 61 to 70 of about 841 (144)
On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces
International Journal of Analysis and Applications, 2014 We define a particular space of bounded linear maps using a Von Neumann algebra and some operator spaces. By this, we prove some isomorphisms, and using interpolation in some particular cases, we get analogue of non-commutative Lp spaces.
E. J. Atto, V.S.K. Assiamoua, Y. Mensah
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A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer
International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira +5 more
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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
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International Journal of Mathematics and Mathematical Sciences, 2002 We prove, for two free semicircularly distributed selfadjoint elements a and b in a type II1 von Neumann algebra with faithful trace τ, that the function t∈ℝ↦τ(exp(a+itb)) is positive definite.
Mark Fannes, Dénes Petz
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Jordan (α,β)-Derivations on Operator Algebras
Journal of Function Spaces, 2017 Let A be a CSL subalgebra of a von Neumann algebra acting on a Hilbert space H. It is shown that any Jordan (α,β)-derivation on A is an (α,β)-derivation, where α,β are any automorphisms on A. Moreover, the nth power (α,β)-maps on A are investigated.
Quanyuan Chen +2 more
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On outer elements of the noncommutative Hp spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2015 In the article let M be a von Neumann algebra equipped with a faithful normal normalized tracial state t, A be subdiagonal subalgebra of M. We transfer the results of [4] to the case p < 1.
A.T. Yerkex, T.N. Bekzhan
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On a Heisenberg-Type Uncertainty Principle in von Neumann Algebras
MathematicsA refinement of the Heisenberg uncertainty principle has been proved by Luo using Wigner–Yanase information. Generalizations of this result have been proved by Yanagi and by other scholars for regular Quantum Fisher Information in the matrix case.
Paolo Gibilisco, Tommaso Isola
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Spectral order on unbounded operators and their symmetries
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 The spectral order on positive unbounded operators affiliated with von Neumann algebras have been considered. The spectral order has physical meaning of comparing distribution functions of quantum observables and organizes the structure of unbounded ...
J. Hamhalter, E.A. Turilova
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Crossed product algebras and generalized entropy for subregions
SciPost Physics CoreAn early result of algebraic quantum field theory is that the algebra of any subregion in a QFT is a von Neumann factor of type III$_{1}$, in which entropy cannot be well-defined because such algebras do not admit a trace or density states.
Shadi Ali Ahmad, Ro Jefferson
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Some metric characterizations of commutativity in C*-algebras [PDF]
Surveys in Mathematics and its ApplicationsWe study Le Page's theorem in the context of C*-algebras and obtain several characterizations of commutativity and centrality implied by identities or inequalities satisfied by the norm.
Florin Pop
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