On some algebras diagonalized by \(M\)-bases of \(\ell^ 2\)

DOI10.1007/BF01322547zbMath0796.47033OpenAlexW2061796563MaRDI QIDQ1316447

Manos Papadakis, Aristides Katavolos, Michael S. Lambrou

Publication date: 28 September 1994

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01322547

zbMATH Keywords

reflexive algebrasapproximable by compact operatorsinvariant lattices generated by \(M\)-bases of \(\ell^ 2\)ultraweak limit of a sequence of contractions

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Dual algebras; weakly closed singly generated operator algebras (47L45) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Linear spaces of operators (47L05)

Related Items (7)

Summation methods for Fourier series with respect to the Azoff-Shehada system ⋮ On Isomorphisms Between Certain Non-CSL Algebras ⋮ Algebraic isomorphisms and $\mathcal {J}$-subspace lattices ⋮ Rank one subspaces of bimodules over maximal abelian selfadjoint algebras ⋮ On the k point density problem for band-diagonal M-bases ⋮ Spectral synthesis for exponentials and logarithmic length ⋮ Spectral synthesis in de Branges spaces

Cites Work

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• Atomic Boolean subspace lattices and applications to the theory of bases
• Strongly Reflexive Lattices
• Operators of Rank One in Reflexive Algebras
• HEREDITARY AND INTERMEDIATE REFLEXIVITY OFW*-ALGEBRAS
• The decomposability of operators relative to two subspaces
• On Some Algebras of Operators. II

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