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Doubly invariant submodules in \(L^{\alpha }\)-spaces

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Publication:644424
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DOI10.1007/S11785-010-0122-1zbMath1242.47007OpenAlexW2038746223MaRDI QIDQ644424

Yuan Tian, Lutz Klotz

Publication date: 4 November 2011

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0122-1


zbMATH Keywords

invariant subspaceshift operator\(L ^{ \alpha }\)-space


Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)





Cites Work

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  • Density of systems of trigonometric polynomials in \(L^p\), \(0<p<1\)
  • The \({\mathcal L}^ p\) space of a positive definite matrix of measures and density of matrix polynomials in \({\mathcal L}^ 1\)
  • On two problems concerning linear transformations in Hilbert space
  • Lp Spaces from Matrix Measures: A Correction and their Interpolation
  • LP Spaces from Matrix Measures
  • Lp Spaces Generated by Certain Operator Valued Measures




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