Log-majorizations and norm inequalities for exponential operators

Fumio Hiai

Displaying similar documents to “Log-majorizations and norm inequalities for exponential operators”

The closure of the invertibles in a von Neumann algebra

Laura Burlando, Robin Harte (1996)

Colloquium Mathematicae

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In this paper we consider a subset Â of a Banach algebra A (containing all elements of A which have a generalized inverse) and characterize membership in the closure of the invertibles for the elements of Â. Thus our result yields a characterization of the closure of the invertible group for all those Banach algebras A which satisfy Â = A. In particular, we prove that Â = A when A is a von Neumann algebra. We also derive from our characterization new proofs of previously known results,...

Chain rules for canonical state extensions on von Neumann algebras

Carlo Cecchini, Dénes Petz (1993)

Colloquium Mathematicae

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In previous papers we introduced and studied the extension of a state defined on a von Neumann subalgebra to the whole of the von Neumann algebra with respect to a given state. This was done by using the standard form of von Neumann algebras. In the case of the existence of a norm one projection from the algebra to the subalgebra preserving the given state our construction is simply equivalent to taking the composition with the norm one projection. In this paper we study couples of von...

On the nonlinear Neumann problem involving the critical Sobolev exponent and Hardy potential.

Jan Chabrowski (2004)

Revista Matemática Complutense

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In this paper we investigate the solvability of some Neumann problems involving the critical Sobolev and Hardy exponents.

On some von Neumann topological algebras.

Choukri, Rachid, El Kinani, Abdellah, Oudadess, Mohamed (2009)

Banach Journal of Mathematical Analysis [electronic only]

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Measure theory in noncommutative spaces.

Lord, Steven, Sukochev, Fedor (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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The unconditional pointwise convergence of orthogonal seriesin $L_{2}$ over a von Neumann algebra

Ewa Hensz, Ryszard Jajte, Adam Paszkiewicz (1996)

Colloquium Mathematicae

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The paper is devoted to some problems concerning a convergence of pointwise type in the $L_{2}$ -space over a von Neumann algebra M with a faithful normal state Φ [3]. Here $L_{2} = L_{2} (M, Φ)$ is the completion of M under the norm ${x \to | x |}^{2} = Φ {(x * x)}^{1 / 2}$ .

A Banach principle for semifinite von Neumann algebras.

Chilin, Vladimir, Litvinov, Semyon (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Solvability of Neumann boundary-value problems with Caratheodory nonlinearities.

Boucherif, Abdelkader, Al-Malki, Nawal (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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A Neumann problem with the $q$ -Laplacian on a solid torus in the critical of supercritical case.

Cotsiolis, Athanase, Labropoulos, Nikos (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Functions of operators and their commutators in perturbation theory

Yu. Farforovskaya (1994)

Banach Center Publications

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This paper shows some directions of perturbation theory for Lipschitz functions of selfadjoint and normal operators, without giving precise proofs. Some of the ideas discussed are explained informally or for the finite-dimensional case. Several unsolved problems are mentioned.

Borderline sharp estimates for solutions to Neumann problems.

Alberico, Angela, Cianchi, Andrea (2007)

Annales Academiae Scientiarum Fennicae. Mathematica

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