Atomic Boolean subspace lattices and applications to the theory of bases

DOI10.1090/memo/0445zbMath0738.47047OpenAlexW2021254277MaRDI QIDQ3971910

Spiros A. Argyros, William Ellison Longstaff, Michael S. Lambrou

Publication date: 25 June 1992

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0445

zbMATH Keywords

subspace latticestrong M-basislattice of closed subspacesatomic Boolean subspace lattices

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Stone spaces (Boolean spaces) and related structures (06E15) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Linear operators in algebras (47C05)

Related Items (13)

The Lidskii trace property and the nest approximation property in Banach spaces ⋮ Operators in finite distributive subspace lattices, I ⋮ A class of zero product determined Banach algebras ⋮ Single elements of finite CSL algebras ⋮ Jordan elementary operators on \(\mathcal J\)-subspace lattice algebras ⋮ Counterexamples Concerning Bitriangular Operators ⋮ Tensor products of subspace lattices and rank one density ⋮ Generalizations of Certain Nest Algebra Results ⋮ Centralizers of \(\mathcal J\)-subspace lattice algebras ⋮ 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 ⋮ On some algebras diagonalized by \(M\)-bases of \(\ell^ 2\)

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