5 papers
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…
On the connection between sets of operator synthesis and sets of spectral synthesis for locally compact groups
Jean Ludwig, Lyudmila Turowska
We extend the results by Froelich and Spronk and Turowska on the connection between operator synthesis and spectral synthesis for A(G) to second countable locally compact groups G.…
On -algebras generated by some deformations of CAR relations
Daniil Proskurin, Yurii Savchuk, Lyudmila Turowska
We study the representation theory and enveloping -algebras for Wick analogues of CAR and twisted CAR algebras. The realization of the -algebras under consideration as al…
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…
On bounded and unbounded idempotents whose sum is a multiple of the identity
Yurii Samoilenko, Lyudmila Turowska
We study bounded and unbounded representations of the -algebra generated by idempotents whose sum equals (, is the identity).