Matches in SemOpenAlex for { <https://semopenalex.org/work/W50589045> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W50589045 abstract "The reader is probably familiar with the extensive and penetrating theory of finite-dimensional linear spaces and operators thereon. One cannot hope to obtain a similarly penetrating theory when the vector space is infinite-dimensional without additional structure in the space. A first step in civilizing a linear space for the purposes of analysis is the introduction of a convenient topology, i.e. one with respect to which relevant operations are continuous. A natural candidate for such a topology in the linear space M of all complex-valued locally measurable functions is that of sequential pointwise convergence. However, this topology may fail to have cogent structural properties. One is led rather to deal with a modification (tilde M) of M which is obtained by identifying functions which agree except on local null sets; and which is given the topology it inherits naturally from that of pointwise sequential convergence in M. It will be seen in fact that (tilde M) is metrizable in this topology, in the key case of a finite measure space; and that it becomes a topological linear space in the following sense." @default.
- W50589045 created "2016-06-24" @default.
- W50589045 creator A5021237111 @default.
- W50589045 creator A5028049625 @default.
- W50589045 date "1978-01-01" @default.
- W50589045 modified "2023-09-27" @default.
- W50589045 title "Convergence and Differentiation" @default.
- W50589045 doi "https://doi.org/10.1007/978-3-642-66693-3_4" @default.
- W50589045 hasPublicationYear "1978" @default.
- W50589045 type Work @default.
- W50589045 sameAs 50589045 @default.
- W50589045 citedByCount "0" @default.
- W50589045 crossrefType "book-chapter" @default.
- W50589045 hasAuthorship W50589045A5021237111 @default.
- W50589045 hasAuthorship W50589045A5028049625 @default.
- W50589045 hasConcept C105433845 @default.
- W50589045 hasConcept C111919701 @default.
- W50589045 hasConcept C114614502 @default.
- W50589045 hasConcept C129089157 @default.
- W50589045 hasConcept C129866940 @default.
- W50589045 hasConcept C134306372 @default.
- W50589045 hasConcept C143913944 @default.
- W50589045 hasConcept C162324750 @default.
- W50589045 hasConcept C184720557 @default.
- W50589045 hasConcept C199845137 @default.
- W50589045 hasConcept C202444582 @default.
- W50589045 hasConcept C27156116 @default.
- W50589045 hasConcept C2777303404 @default.
- W50589045 hasConcept C2777984123 @default.
- W50589045 hasConcept C2778572836 @default.
- W50589045 hasConcept C2780009758 @default.
- W50589045 hasConcept C33923547 @default.
- W50589045 hasConcept C41008148 @default.
- W50589045 hasConcept C47776270 @default.
- W50589045 hasConcept C50522688 @default.
- W50589045 hasConcept C70710897 @default.
- W50589045 hasConcept C77088390 @default.
- W50589045 hasConcept C81332173 @default.
- W50589045 hasConceptScore W50589045C105433845 @default.
- W50589045 hasConceptScore W50589045C111919701 @default.
- W50589045 hasConceptScore W50589045C114614502 @default.
- W50589045 hasConceptScore W50589045C129089157 @default.
- W50589045 hasConceptScore W50589045C129866940 @default.
- W50589045 hasConceptScore W50589045C134306372 @default.
- W50589045 hasConceptScore W50589045C143913944 @default.
- W50589045 hasConceptScore W50589045C162324750 @default.
- W50589045 hasConceptScore W50589045C184720557 @default.
- W50589045 hasConceptScore W50589045C199845137 @default.
- W50589045 hasConceptScore W50589045C202444582 @default.
- W50589045 hasConceptScore W50589045C27156116 @default.
- W50589045 hasConceptScore W50589045C2777303404 @default.
- W50589045 hasConceptScore W50589045C2777984123 @default.
- W50589045 hasConceptScore W50589045C2778572836 @default.
- W50589045 hasConceptScore W50589045C2780009758 @default.
- W50589045 hasConceptScore W50589045C33923547 @default.
- W50589045 hasConceptScore W50589045C41008148 @default.
- W50589045 hasConceptScore W50589045C47776270 @default.
- W50589045 hasConceptScore W50589045C50522688 @default.
- W50589045 hasConceptScore W50589045C70710897 @default.
- W50589045 hasConceptScore W50589045C77088390 @default.
- W50589045 hasConceptScore W50589045C81332173 @default.
- W50589045 hasLocation W505890451 @default.
- W50589045 hasOpenAccess W50589045 @default.
- W50589045 hasPrimaryLocation W505890451 @default.
- W50589045 hasRelatedWork W1556585730 @default.
- W50589045 hasRelatedWork W1617049177 @default.
- W50589045 hasRelatedWork W1630547341 @default.
- W50589045 hasRelatedWork W1655369790 @default.
- W50589045 hasRelatedWork W168500499 @default.
- W50589045 hasRelatedWork W1972891968 @default.
- W50589045 hasRelatedWork W1984712965 @default.
- W50589045 hasRelatedWork W2045877175 @default.
- W50589045 hasRelatedWork W2068375927 @default.
- W50589045 hasRelatedWork W2085617723 @default.
- W50589045 hasRelatedWork W2098418918 @default.
- W50589045 hasRelatedWork W2114464826 @default.
- W50589045 hasRelatedWork W2513573338 @default.
- W50589045 hasRelatedWork W2903136975 @default.
- W50589045 hasRelatedWork W3004912197 @default.
- W50589045 hasRelatedWork W3023857070 @default.
- W50589045 hasRelatedWork W30514849 @default.
- W50589045 hasRelatedWork W3162808594 @default.
- W50589045 hasRelatedWork W382130561 @default.
- W50589045 hasRelatedWork W42442518 @default.
- W50589045 isParatext "false" @default.
- W50589045 isRetracted "false" @default.
- W50589045 magId "50589045" @default.
- W50589045 workType "book-chapter" @default.