Matches in SemOpenAlex for { <https://semopenalex.org/work/W2521555781> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2521555781 abstract "In this note, we show that a quasi-free Hilbert module R defined over the polydisk algebra with kernel function k(z, w) admits a unique minimal dilation (actually an isometric co-extension) to the Hardy module over the polydisk if and only if S^{-1}(z, w) k(z, w) is a positive kernel function, where S(z, w) is the Szego kernel for the polydisk. Moreover, we establish the equivalence of such a factorization of the kernel functions and a positivity condition, defined using the hereditary functional calculus, which was introduced earlier by Athavale and Ambrozie, Englis and Muller. An explicit realization of the dilation space is given along with the isometric embedding of the module R in it. The proof works for a wider class of Hilbert modules in which the Hardy module is replaced by more general quasi-free Hilbert modules such as the classical spaces on the polydisk or the unit ball in C^m Some consequences of this more general result are then explored in the case of several natural function algebras." @default.
- W2521555781 created "2016-09-30" @default.
- W2521555781 creator A5067138593 @default.
- W2521555781 creator A5085157686 @default.
- W2521555781 creator A5087028802 @default.
- W2521555781 date "2009-06-30" @default.
- W2521555781 modified "2023-09-27" @default.
- W2521555781 title "Contractive Hilbert modules and their dilations over natural function algebras" @default.
- W2521555781 cites W1511378139 @default.
- W2521555781 cites W1515192744 @default.
- W2521555781 cites W1515892788 @default.
- W2521555781 cites W1602120208 @default.
- W2521555781 cites W1607698740 @default.
- W2521555781 cites W190586139 @default.
- W2521555781 cites W1971558111 @default.
- W2521555781 cites W1986280275 @default.
- W2521555781 cites W2014601009 @default.
- W2521555781 cites W2018828049 @default.
- W2521555781 cites W2034986938 @default.
- W2521555781 cites W2042608503 @default.
- W2521555781 cites W2051429553 @default.
- W2521555781 cites W2067318165 @default.
- W2521555781 cites W2088225413 @default.
- W2521555781 cites W2090052027 @default.
- W2521555781 cites W2122230269 @default.
- W2521555781 cites W2138926850 @default.
- W2521555781 cites W2331274486 @default.
- W2521555781 cites W2572094938 @default.
- W2521555781 cites W3023966886 @default.
- W2521555781 hasPublicationYear "2009" @default.
- W2521555781 type Work @default.
- W2521555781 sameAs 2521555781 @default.
- W2521555781 citedByCount "1" @default.
- W2521555781 crossrefType "posted-content" @default.
- W2521555781 hasAuthorship W2521555781A5067138593 @default.
- W2521555781 hasAuthorship W2521555781A5085157686 @default.
- W2521555781 hasAuthorship W2521555781A5087028802 @default.
- W2521555781 hasConcept C11413529 @default.
- W2521555781 hasConcept C114614502 @default.
- W2521555781 hasConcept C118615104 @default.
- W2521555781 hasConcept C136119220 @default.
- W2521555781 hasConcept C154945302 @default.
- W2521555781 hasConcept C187834632 @default.
- W2521555781 hasConcept C191948623 @default.
- W2521555781 hasConcept C202444582 @default.
- W2521555781 hasConcept C2780069185 @default.
- W2521555781 hasConcept C2780757906 @default.
- W2521555781 hasConcept C33923547 @default.
- W2521555781 hasConcept C41008148 @default.
- W2521555781 hasConcept C41608201 @default.
- W2521555781 hasConcept C42178598 @default.
- W2521555781 hasConcept C62799726 @default.
- W2521555781 hasConcept C74193536 @default.
- W2521555781 hasConcept C80884492 @default.
- W2521555781 hasConceptScore W2521555781C11413529 @default.
- W2521555781 hasConceptScore W2521555781C114614502 @default.
- W2521555781 hasConceptScore W2521555781C118615104 @default.
- W2521555781 hasConceptScore W2521555781C136119220 @default.
- W2521555781 hasConceptScore W2521555781C154945302 @default.
- W2521555781 hasConceptScore W2521555781C187834632 @default.
- W2521555781 hasConceptScore W2521555781C191948623 @default.
- W2521555781 hasConceptScore W2521555781C202444582 @default.
- W2521555781 hasConceptScore W2521555781C2780069185 @default.
- W2521555781 hasConceptScore W2521555781C2780757906 @default.
- W2521555781 hasConceptScore W2521555781C33923547 @default.
- W2521555781 hasConceptScore W2521555781C41008148 @default.
- W2521555781 hasConceptScore W2521555781C41608201 @default.
- W2521555781 hasConceptScore W2521555781C42178598 @default.
- W2521555781 hasConceptScore W2521555781C62799726 @default.
- W2521555781 hasConceptScore W2521555781C74193536 @default.
- W2521555781 hasConceptScore W2521555781C80884492 @default.
- W2521555781 hasLocation W25215557811 @default.
- W2521555781 hasOpenAccess W2521555781 @default.
- W2521555781 hasPrimaryLocation W25215557811 @default.
- W2521555781 hasRelatedWork W155438400 @default.
- W2521555781 hasRelatedWork W169112085 @default.
- W2521555781 hasRelatedWork W1893318396 @default.
- W2521555781 hasRelatedWork W1958774499 @default.
- W2521555781 hasRelatedWork W1990244929 @default.
- W2521555781 hasRelatedWork W2003192815 @default.
- W2521555781 hasRelatedWork W2025500575 @default.
- W2521555781 hasRelatedWork W2025561933 @default.
- W2521555781 hasRelatedWork W2031639621 @default.
- W2521555781 hasRelatedWork W203318720 @default.
- W2521555781 hasRelatedWork W2038236491 @default.
- W2521555781 hasRelatedWork W2047317223 @default.
- W2521555781 hasRelatedWork W2080085029 @default.
- W2521555781 hasRelatedWork W2112289296 @default.
- W2521555781 hasRelatedWork W2810359616 @default.
- W2521555781 hasRelatedWork W2962760638 @default.
- W2521555781 hasRelatedWork W2963294175 @default.
- W2521555781 hasRelatedWork W2963356178 @default.
- W2521555781 hasRelatedWork W3200149743 @default.
- W2521555781 hasRelatedWork W974756071 @default.
- W2521555781 isParatext "false" @default.
- W2521555781 isRetracted "false" @default.
- W2521555781 magId "2521555781" @default.
- W2521555781 workType "article" @default.