Operator synthesis II: Individual synthesis and linear operator equations

DOI10.1515/CRELLE.2006.007zbMath1094.47054arXivmath/0401091OpenAlexW2101725626MaRDI QIDQ3373093

Lyudmyla Turowska, Viktor S. Shul'man

Publication date: 13 March 2006

Published in: Journal fur die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401091

zbMATH Keywords

linear operator equationspectral synthesistensor algebraoperator synthesis

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Applications of operator theory to differential and integral equations (47N20) Tensor products of (C^*)-algebras (46L06) Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items (16)

Some consequences of Putinar's model of hyponormal operators concerning Hilbert-Schmidt commutators ⋮ On the connection between sets of operator synthesis and sets of spectral synthesis for locally compact groups ⋮ Fuglede-Putnam theorem in algebras with involutions ⋮ Heisenberg relation for locally measurable operators ⋮ Reduced spectral synthesis and compact operator synthesis ⋮ Closable multipliers ⋮ Reduced synthesis in harmonic analysis and compact synthesis in operator theory ⋮ Fourier algebras on homogeneous spaces ⋮ Fuglede commutations modulo Lorentz ideals ⋮ Ranges of bimodule projections and reflexivity ⋮ Malliavin's theorem for weak synthesis on nonabelian groups ⋮ An Elementary Approach to Elementary Operators on B(H) ⋮ Operator synthesis and tensor products ⋮ On a Kleinecke-Shirokov theorem ⋮ Sets of multiplicity and closable multipliers on group algebras ⋮ A Fuglede-Putnam theorem modulo the Hilbert-Schmidt class for almost normal operators with finite modulus of Hilbert-Schmidt quasi-triangularity

Cites Work

• Rank one subspaces of bimodules over maximal abelian selfadjoint algebras
• Subnormal operators
• An Extension of the Fugledge Commutativity Theorem Modulo the Hilbert- Schmidt Class to Operators of the Form ΣM n XN n
• The Fugledge Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators. I

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