The closure of the invertibles in a von Neumann algebra

Laura Burlando; Robin Harte

Displaying similar documents to “The closure of the invertibles in a von Neumann algebra”

Log-majorizations and norm inequalities for exponential operators

Fumio Hiai (1997)

Banach Center Publications

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Concise but self-contained reviews are given on theories of majorization and symmetrically normed ideals, including the proofs of the Lidskii-Wielandt and the Gelfand-Naimark theorems. Based on these reviews, we discuss logarithmic majorizations and norm inequalities of Golden-Thompson type and its complementary type for exponential operators on a Hilbert space. Furthermore, we obtain norm convergences for the exponential product formula as well as for that involving operator means. ...

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...

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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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.

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 ${x \to | x |}^{2} = Φ {(x * x)}^{1 / 2}$ .