Matches in SemOpenAlex for { <https://semopenalex.org/work/W2066730920> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W2066730920 endingPage "363" @default.
- W2066730920 startingPage "359" @default.
- W2066730920 abstract "The notion of quasi-Schwartz mappings, introduced by Randtke, is a natural generalization of the concept of precompact linear mappings. It is shown that a linear mapping T from a locally convex space E into another F is a quasi-Schwartz mapping if and only if there exist a o -neighbourhood V in E and an absolutely convex bounded subset B of F such that T(V) is precompact in the normed space (∪ n ≥1 n B , r B ). As an application, we obtain Schauder's theorem on the duality properties of precompact and compact mappings. Another application is to establish a factorization theorem for quasi-Schwartz mappings; it is shown that for every quasi-Schwartz mapping T : E → F there exist a vector subspace H of c 0 and quasi-Schwartz mappings T 1 : E → H and T 2 : H → F such that T = T 2 T 1 . This is a generalization of the factorization theorem of precompact mappings, due to Terzioglu and Randtke." @default.
- W2066730920 created "2016-06-24" @default.
- W2066730920 creator A5054568439 @default.
- W2066730920 date "1982-01-01" @default.
- W2066730920 modified "2023-09-27" @default.
- W2066730920 title "A characterization of quasi-Schwartz linear mappings" @default.
- W2066730920 cites W1533832582 @default.
- W2066730920 cites W2027584272 @default.
- W2066730920 cites W2042898912 @default.
- W2066730920 cites W2056507612 @default.
- W2066730920 cites W608538177 @default.
- W2066730920 doi "https://doi.org/10.1016/1385-7258(82)90029-4" @default.
- W2066730920 hasPublicationYear "1982" @default.
- W2066730920 type Work @default.
- W2066730920 sameAs 2066730920 @default.
- W2066730920 citedByCount "0" @default.
- W2066730920 crossrefType "journal-article" @default.
- W2066730920 hasAuthorship W2066730920A5054568439 @default.
- W2066730920 hasConcept C112680207 @default.
- W2066730920 hasConcept C11413529 @default.
- W2066730920 hasConcept C114614502 @default.
- W2066730920 hasConcept C118615104 @default.
- W2066730920 hasConcept C134306372 @default.
- W2066730920 hasConcept C171739935 @default.
- W2066730920 hasConcept C177148314 @default.
- W2066730920 hasConcept C187834632 @default.
- W2066730920 hasConcept C202444582 @default.
- W2066730920 hasConcept C2524010 @default.
- W2066730920 hasConcept C32834561 @default.
- W2066730920 hasConcept C33923547 @default.
- W2066730920 hasConcept C34388435 @default.
- W2066730920 hasConceptScore W2066730920C112680207 @default.
- W2066730920 hasConceptScore W2066730920C11413529 @default.
- W2066730920 hasConceptScore W2066730920C114614502 @default.
- W2066730920 hasConceptScore W2066730920C118615104 @default.
- W2066730920 hasConceptScore W2066730920C134306372 @default.
- W2066730920 hasConceptScore W2066730920C171739935 @default.
- W2066730920 hasConceptScore W2066730920C177148314 @default.
- W2066730920 hasConceptScore W2066730920C187834632 @default.
- W2066730920 hasConceptScore W2066730920C202444582 @default.
- W2066730920 hasConceptScore W2066730920C2524010 @default.
- W2066730920 hasConceptScore W2066730920C32834561 @default.
- W2066730920 hasConceptScore W2066730920C33923547 @default.
- W2066730920 hasConceptScore W2066730920C34388435 @default.
- W2066730920 hasIssue "3" @default.
- W2066730920 hasLocation W20667309201 @default.
- W2066730920 hasOpenAccess W2066730920 @default.
- W2066730920 hasPrimaryLocation W20667309201 @default.
- W2066730920 hasRelatedWork W1871156538 @default.
- W2066730920 hasRelatedWork W1999574685 @default.
- W2066730920 hasRelatedWork W2052136967 @default.
- W2066730920 hasRelatedWork W2067278681 @default.
- W2066730920 hasRelatedWork W2075130787 @default.
- W2066730920 hasRelatedWork W2186428975 @default.
- W2066730920 hasRelatedWork W2980075598 @default.
- W2066730920 hasRelatedWork W3008950484 @default.
- W2066730920 hasRelatedWork W3179766690 @default.
- W2066730920 hasRelatedWork W3183298406 @default.
- W2066730920 hasVolume "85" @default.
- W2066730920 isParatext "false" @default.
- W2066730920 isRetracted "false" @default.
- W2066730920 magId "2066730920" @default.
- W2066730920 workType "article" @default.