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Displaying similar documents to “Unitary completions of complex symmetric and skew symmetric matrices.”

Jucys-Murphy elements and the unitary Weingarten function

Jonathan I. Novak (2010)

Banach Center Publications

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We describe an approach to the unitary Weingarten function based on the JM elements of symmetric group algebras. When combined with previously known properties of the Weingarten function, this gives a surprising connection with the Moebius function of the lattice of noncrossing partitions.

Geometric characterization of L₁-spaces

Normuxammad Yadgorov, Mukhtar Ibragimov, Karimbergen Kudaybergenov (2013)

Studia Mathematica

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The paper is devoted to a description of all real strongly facially symmetric spaces which are isometrically isomorphic to L₁-spaces. We prove that if Z is a real neutral strongly facially symmetric space such that every maximal geometric tripotent from the dual space of Z is unitary, then the space Z is isometrically isomorphic to the space L₁(Ω,Σ,μ), where (Ω,Σ,μ) is an appropriate measure space having the direct sum property.

A matrix inequality

Russell C. Thompson (1976)

Commentationes Mathematicae Universitatis Carolinae

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