Matrix representations of arbitrary bounded operators on Hilbert spaces

Autor:	Müller, Vladimir, Tomilov, Yuri
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We show that under natural and quite general assumptions, a large part of a matrix for a bounded linear operator on a Hilbert space can be preassigned. The result is obtained in a more general setting of operator tuples leading to interesting consequences, e.g. when the tuple consists of powers of a single operator. We also prove several variants of this result of independent interest. The paper substantially extends former research on matrix representations in infinite-dimensional spaces dealing mainly with prescribing the main diagonals. Comment: This is a version of the paper to appear in Journal f\"ur die reine und angewandte Mathematik (Crelle's Journal)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.14266 Zobrazit plný text záznamu View this record from Arxiv