Operator synthesis. I: Synthetic sets, bilattices and tensor algebras

DOI10.1016/S0022-1236(03)00270-2zbMath1071.47066arXivmath/0308240OpenAlexW2035605416MaRDI QIDQ1876253

Lyudmyla Turowska, Viktor S. Shul'man

Publication date: 16 August 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308240

zbMATH Keywords

tensor algebrasspectral synthesisbimodulebilatticeoperator synthesis

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Tensor products of (C^*)-algebras (46L06) Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items (24)

On the connection between sets of operator synthesis and sets of spectral synthesis for locally compact groups ⋮ Transference and preservation of uniqueness ⋮ Descriptive set-theoretic aspects of closed sets of uniqueness in the non-abelian setting ⋮ Reflexivity of bilattices ⋮ Heisenberg relation for locally measurable operators ⋮ Reduced spectral synthesis and compact operator synthesis ⋮ Kernel maps and operator decomposition ⋮ Closable multipliers ⋮ Synthetic properties of locally compact groups: preservation and transference ⋮ Reduced synthesis in harmonic analysis and compact synthesis in operator theory ⋮ Ideals of the Fourier algebra, supports and harmonic operators ⋮ Fourier algebras on homogeneous spaces ⋮ Ranges of bimodule projections and reflexivity ⋮ Applications of operator space theory to nest algebra bimodules ⋮ Bilattices and Morita Equivalence of MASA Bimodules ⋮ Malliavin's theorem for weak synthesis on nonabelian groups ⋮ Skew exactness and range-kernel orthogonality. II. ⋮ Operator synthesis and tensor products ⋮ Ideals of \(A(G)\) and bimodules over maximal abelian selfadjoint algebras ⋮ On the continuity of the support of bimodules over maximal Abelian self-adjoint algebras ⋮ Hyperreflexivity of bilattices ⋮ On synthetic and transference properties of group homomorphisms ⋮ Stable isomorphism of dual operator spaces ⋮ Sets of multiplicity and closable multipliers on group algebras

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