Invertible Factorization over Multiplier Algebras

Autor:	Tavan T. Trent
Rok vydání:	2012
Předmět:	Unit sphere Discrete mathematics Mathematics::Functional Analysis Algebra and Number Theory Mathematics::Complex Variables Hardy space law.invention symbols.namesake Invertible matrix Factorization law symbols Multiplier (economics) Analysis Reproducing kernel Hilbert space Mathematics
Zdroj:	Integral Equations and Operator Theory. 75:151-164
ISSN:	1420-8989 0378-620X
DOI:	10.1007/s00020-012-2017-1
Popis:	Let \({\mathcal{A}}\) denote the multiplier algebra of an E-valued reproducing kernel Hilbert space, \({H_E^2(k)}\) . Then when H2(k) is nice, we give necessary and sufficient conditions that T > 0 factors as A*A, where A and \({A^{-1} \in \mathcal{A}}\) . Such nice spaces include the Bergman and Hardy spaces on the unit polydisk and unit ball in \({\mathbb{C}^d}\) .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1653b3d4aba10b227c95d734052077d5 https://doi.org/10.1007/s00020-012-2017-1 Zobrazit plný text záznamu Full text from SpringerLink