Reduced synthesis in harmonic analysis and compact synthesis in operator theory

DOI10.1007/S10688-017-0189-9zbMath1382.43007OpenAlexW2582357187MaRDI QIDQ1695242

Lyudmyla Turowska, Viktor S. Shul'man, Ivan G. Todorov

Publication date: 7 February 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://pure.qub.ac.uk/en/publications/reduced-synthesis-in-harmonic-analysis-and-compact-synthesis-in-operator-theory(a83b0798-455f-4144-8824-87b750373258).html

zbMATH Keywords

compact operatorlocally compact grouplinear operator equationFourier algebramasa-bimodulereduced \(C^\ast\)-algebra of a locally compact group

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) Spectral synthesis on groups, semigroups, etc. (43A45)

Cites Work

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• On the connection between sets of operator synthesis and sets of spectral synthesis for locally compact groups
• Operator algebras and invariant subspaces
• Rank one subspaces of bimodules over maximal abelian selfadjoint algebras
• Operator synthesis. I: Synthetic sets, bilattices and tensor algebras
• Sets of multiplicity and closable multipliers on group algebras
• Operator synthesis II: Individual synthesis and linear operator equations
• Helson Sets which Disobey Spectral Synthesis
• L'algèbre de Fourier d'un groupe localement compact

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