Matches in SemOpenAlex for { <https://semopenalex.org/work/W2783297281> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2783297281 endingPage "1490" @default.
- W2783297281 startingPage "1466" @default.
- W2783297281 abstract "The dilations for operator-valued measures (OVMs) and bounded linear maps indicate that the dilation theory is in general heavily dependent on the Banach space nature of the dilation spaces. This naturally led to many questions concerning special type of dilations. In particular it is not known whether ultraweakly continuous (normal) maps can be dilated to ultraweakly continuous homomorphisms. We answer this question affirmatively for the case when the domain algebra is an abelian von Neumann algebra. It is well known that completely bounded Hilbert space operator valued measures correspond to the existence of orthogonal projection-valued dilations in the sense of Naimark and Stinespring, and OVMs with bounded total variations are completely bounded but not the vice-versa. With the aim of classifying OVMs from the dilation point of view, we introduce the concept of total p-variations for OVMs. We prove that any completely bounded OVM has finite 2-variation, and any OVM with finite p-variation can be dilated to a (but usually non-Hilbertian) projection-valued measure of the same type. With the help of framing induced OVMs, we prove that conventional minimal dilation space of a non-trivial framing contains c0, then does not have bounded p-variation." @default.
- W2783297281 created "2018-01-26" @default.
- W2783297281 creator A5012358060 @default.
- W2783297281 creator A5051857856 @default.
- W2783297281 creator A5081675173 @default.
- W2783297281 date "2018-03-01" @default.
- W2783297281 modified "2023-10-17" @default.
- W2783297281 title "Dilations of operator-valued measures with bounded p-variations and framings on Banach spaces" @default.
- W2783297281 cites W154229530 @default.
- W2783297281 cites W1971167655 @default.
- W2783297281 cites W1988693396 @default.
- W2783297281 cites W1988936067 @default.
- W2783297281 cites W2013722906 @default.
- W2783297281 cites W2028604883 @default.
- W2783297281 cites W2037259582 @default.
- W2783297281 cites W2043871933 @default.
- W2783297281 cites W2055637695 @default.
- W2783297281 cites W2095087473 @default.
- W2783297281 cites W2148195034 @default.
- W2783297281 cites W2150231195 @default.
- W2783297281 cites W2314189806 @default.
- W2783297281 cites W2327974561 @default.
- W2783297281 cites W2331830039 @default.
- W2783297281 cites W2397757582 @default.
- W2783297281 cites W2591939469 @default.
- W2783297281 cites W2962853895 @default.
- W2783297281 cites W4206022174 @default.
- W2783297281 cites W52454379 @default.
- W2783297281 doi "https://doi.org/10.1016/j.jfa.2018.01.006" @default.
- W2783297281 hasPublicationYear "2018" @default.
- W2783297281 type Work @default.
- W2783297281 sameAs 2783297281 @default.
- W2783297281 citedByCount "9" @default.
- W2783297281 countsByYear W27832972812019 @default.
- W2783297281 countsByYear W27832972812020 @default.
- W2783297281 countsByYear W27832972812021 @default.
- W2783297281 countsByYear W27832972812022 @default.
- W2783297281 countsByYear W27832972812023 @default.
- W2783297281 crossrefType "journal-article" @default.
- W2783297281 hasAuthorship W2783297281A5012358060 @default.
- W2783297281 hasAuthorship W2783297281A5051857856 @default.
- W2783297281 hasAuthorship W2783297281A5081675173 @default.
- W2783297281 hasBestOaLocation W27832972811 @default.
- W2783297281 hasConcept C114614502 @default.
- W2783297281 hasConcept C118615104 @default.
- W2783297281 hasConcept C132954091 @default.
- W2783297281 hasConcept C134306372 @default.
- W2783297281 hasConcept C136170076 @default.
- W2783297281 hasConcept C175454919 @default.
- W2783297281 hasConcept C202444582 @default.
- W2783297281 hasConcept C2780757906 @default.
- W2783297281 hasConcept C33923547 @default.
- W2783297281 hasConcept C34388435 @default.
- W2783297281 hasConcept C4042151 @default.
- W2783297281 hasConcept C62799726 @default.
- W2783297281 hasConceptScore W2783297281C114614502 @default.
- W2783297281 hasConceptScore W2783297281C118615104 @default.
- W2783297281 hasConceptScore W2783297281C132954091 @default.
- W2783297281 hasConceptScore W2783297281C134306372 @default.
- W2783297281 hasConceptScore W2783297281C136170076 @default.
- W2783297281 hasConceptScore W2783297281C175454919 @default.
- W2783297281 hasConceptScore W2783297281C202444582 @default.
- W2783297281 hasConceptScore W2783297281C2780757906 @default.
- W2783297281 hasConceptScore W2783297281C33923547 @default.
- W2783297281 hasConceptScore W2783297281C34388435 @default.
- W2783297281 hasConceptScore W2783297281C4042151 @default.
- W2783297281 hasConceptScore W2783297281C62799726 @default.
- W2783297281 hasFunder F4320306076 @default.
- W2783297281 hasFunder F4320321001 @default.
- W2783297281 hasFunder F4320323021 @default.
- W2783297281 hasIssue "5" @default.
- W2783297281 hasLocation W27832972811 @default.
- W2783297281 hasOpenAccess W2783297281 @default.
- W2783297281 hasPrimaryLocation W27832972811 @default.
- W2783297281 hasRelatedWork W1914962833 @default.
- W2783297281 hasRelatedWork W2027251766 @default.
- W2783297281 hasRelatedWork W2066622448 @default.
- W2783297281 hasRelatedWork W2099436800 @default.
- W2783297281 hasRelatedWork W2166518045 @default.
- W2783297281 hasRelatedWork W2392871243 @default.
- W2783297281 hasRelatedWork W277276449 @default.
- W2783297281 hasRelatedWork W3127040178 @default.
- W2783297281 hasRelatedWork W4237517377 @default.
- W2783297281 hasRelatedWork W4239854866 @default.
- W2783297281 hasVolume "274" @default.
- W2783297281 isParatext "false" @default.
- W2783297281 isRetracted "false" @default.
- W2783297281 magId "2783297281" @default.
- W2783297281 workType "article" @default.