25 citations
- Institute of Informatics ProblemsRU7 papers
- Chalmers University of TechnologySE6 papers
- Institute of Socio-Economic Development of TerritoriesRU4 papers
- Lomonosov Moscow State UniversityRU4 papers
- Russian Academy of SciencesRU4 papers
- University of GothenburgSE4 papers
- St. John's UniversityUS3 papers
- Federal Research Center “Computer Science and Control” of the Russian Academy of SciencesRU2 papers
- Queen's University BelfastGB2 papers
- Vanderbilt UniversityUS2 papers
- Azerbaijan National Academy of SciencesAZ1 paper
- Evangelische Hochschule BerlinDE1 paper
6 papers · 1 filter
Reduced spectral synthesis and compact operator synthesis
V. S. Shulman, I. G. Todorov, L. Turowska
We introduce and study the notion of reduced spectral synthesis, which unifies the concepts of spectral synthesis and uniqueness in locally compact groups. We exhibit a number of e…
Topological radicals, I. Basic properties, tensor products and joint quasinilpotence
Victor S. Shulman, Yuri V. Turovskii
The work starts a series of papers on topological radicals and their applications. Among other results we present a theory of radicals related to the joint tensor radius.
Weak operator topology, operator ranges and operator equations via Kolmogorov widths
M. I. Ostrovskii, V. S. Shulman
Let be an absolutely convex infinite-dimensional compact in a Banach space . The set of all bounded linear operators on satisfying …
Unitarizable representations and fixed points of groups of biholomorphic transformations of operator balls
M. I. Ostrovskii, V. S. Shulman, L. Turowska
We show that the open unit ball of the space of operators from a finite dimensional Hilbert space into a separable Hilbert space (we call it "operator ball") has a restricted form…
Beurling-Pollard type theorems
Victor Shulman, Lyudmila Turowska
We establish a version of the Beurling-Pollard theorem for operator synthesis and apply it to derive some results on linear operator equations and to prove a Beurling-Pollard type…
Operator synthesis. I. Synthetic sets, bilattices and tensor algebras
Victor Shulman, Lyudmila Turowska
The interplay between the invariant subspace theory and spectral synthesis for locally compact abelian group discovered by Arveson is extended to include other topics as harmonic a…