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Schmidt representation of bilinear operators on Hilbert spaces

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Publication:2076527
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DOI10.1016/j.indag.2021.10.003OpenAlexW3213939211MaRDI QIDQ2076527

Marcus Vinícius de Andrade Neves, Dicesar Lass Fernandez, Eduardo Brandani da Silva

Publication date: 22 February 2022

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.02869


zbMATH Keywords

Hilbert spacecompact operatorbilinear operatorsingular valueSchmidt representation


Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60)


Related Items

Extension procedures for lattice Lipschitz operators on Euclidean spaces



Cites Work

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  • Convolution-continuous bilinear operators acting on Hilbert spaces of integrable functions
  • Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
  • A spectral theorem for bilinear compact operators in Hilbert spaces
  • Approximation numbers of nuclear and Hilbert--Schmidt multilinear forms defined on Hilbert spaces
  • Compact bilinear operators and commutators
  • A Hilbert algebra of Hilbert-Schmidt quadratic operators
  • Images of bilinear mappings into 𝐑³
  • On summability of bilinear operators
  • Representations of Multilinear and Polynomial Operators on Vector Spaces
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