Isometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form

DOI10.1016/j.laa.2019.11.004zbMath1437.15018arXiv1911.04993OpenAlexW2983636254WikidataQ122112557 ScholiaQ122112557MaRDI QIDQ2174409

Jonathan V. Caalim, Yu-ichi Tanaka, Vladimir V. Sergeichuk, Vyacheslav M. Futorny

Publication date: 21 April 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04993

zbMATH Keywords

selfadjoint operatorsunitary operatorsindefinite inner product spacesunitary matricesisometric operators

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21) Linear operators on spaces with an indefinite metric (47B50) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (2)

Unnamed Item ⋮ Classification of linear operators satisfying \((Au,v)=(u,a^rv)\) or \((Au,a^rv)=(u,v)\) on a vector space with indefinite scalar product

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