Matrix operator equations

Autor:	M. M. Lavrent’ev, L. Ya. Savel’ev, S. V. Balakin
Rok vydání:	2008
Předmět:	Algebra Semi-elliptic operator Matrix (mathematics) Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Spectral theorem Operator theory Compact operator Operator norm Industrial and Manufacturing Engineering Compact operator on Hilbert space Fourier integral operator Mathematics
Zdroj:	Journal of Applied and Industrial Mathematics. 2:522-541
ISSN:	1990-4797 1990-4789
Popis:	This article is devoted to the theory and applications of matrix operator equations in normed spaces. We describe in detail the general properties of matrix operators and their representing matrices. As the indexing set we take an arbitrary countable set. This is related to stochastic applications in which it is difficult to find an enumeration that fits well with the content. Sample applications are the Markov matrices and the operators they define. Comparisons with operators of this type arise in some stochastic problems of integral geometry and tomography.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::230f837881528f6d51da5fd727796464 https://doi.org/10.1134/s1990478908040091 Zobrazit plný text záznamu Full text from SpringerLink