Matches in SemOpenAlex for { <https://semopenalex.org/work/W1980407890> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W1980407890 abstract "We define and study the metric, or extreme version of the notion of a projective normed module. The relevant definition takes into account the exact value of the norm of the module in question, in contrast with the standard known definition that is formulated in terms of norm topology. After some preliminary observations and discussion of the case where the base normed algebra A is just the field of complex numbers, we concentrate on the case of the next degree of complication, where A is a sequence algebra, satisfying some natural conditions. The main results give a full characterization of extremely projective objects within the subcategory of the category of non-degenerate normed A-modules, consisting of the so-called homogeneous modules. We consider two cases, `non-complete' and `complete', and the respective answers turn out to be essentially different. In particular, all Banach non-degenerate homogeneous modules, consisting of sequences, are extremely projective within the category of Banach non-degenerate homogeneous modules. However, neither of them is extremely projective within the category of all normed non-degenerate homogeneous modules, when it is infinite-dimensional. On the other hand, submodules of these modules, consisting of finite sequences, are extremely projective within the latter category." @default.
- W1980407890 created "2016-06-24" @default.
- W1980407890 creator A5016494229 @default.
- W1980407890 date "2011-04-13" @default.
- W1980407890 modified "2023-09-27" @default.
- W1980407890 title "Metric version of projectivity for normed modules over sequence algebras" @default.
- W1980407890 cites W1588831561 @default.
- W1980407890 cites W2037754914 @default.
- W1980407890 cites W2166453782 @default.
- W1980407890 cites W2330898887 @default.
- W1980407890 cites W2963620876 @default.
- W1980407890 cites W78019870 @default.
- W1980407890 hasPublicationYear "2011" @default.
- W1980407890 type Work @default.
- W1980407890 sameAs 1980407890 @default.
- W1980407890 citedByCount "1" @default.
- W1980407890 crossrefType "posted-content" @default.
- W1980407890 hasAuthorship W1980407890A5016494229 @default.
- W1980407890 hasConcept C113577549 @default.
- W1980407890 hasConcept C114614502 @default.
- W1980407890 hasConcept C118615104 @default.
- W1980407890 hasConcept C121332964 @default.
- W1980407890 hasConcept C136119220 @default.
- W1980407890 hasConcept C138354692 @default.
- W1980407890 hasConcept C14394260 @default.
- W1980407890 hasConcept C17744445 @default.
- W1980407890 hasConcept C177846678 @default.
- W1980407890 hasConcept C191795146 @default.
- W1980407890 hasConcept C199539241 @default.
- W1980407890 hasConcept C202444582 @default.
- W1980407890 hasConcept C2778112365 @default.
- W1980407890 hasConcept C2780617661 @default.
- W1980407890 hasConcept C32268108 @default.
- W1980407890 hasConcept C33923547 @default.
- W1980407890 hasConcept C54355233 @default.
- W1980407890 hasConcept C62520636 @default.
- W1980407890 hasConcept C66882249 @default.
- W1980407890 hasConcept C72319582 @default.
- W1980407890 hasConcept C86803240 @default.
- W1980407890 hasConceptScore W1980407890C113577549 @default.
- W1980407890 hasConceptScore W1980407890C114614502 @default.
- W1980407890 hasConceptScore W1980407890C118615104 @default.
- W1980407890 hasConceptScore W1980407890C121332964 @default.
- W1980407890 hasConceptScore W1980407890C136119220 @default.
- W1980407890 hasConceptScore W1980407890C138354692 @default.
- W1980407890 hasConceptScore W1980407890C14394260 @default.
- W1980407890 hasConceptScore W1980407890C17744445 @default.
- W1980407890 hasConceptScore W1980407890C177846678 @default.
- W1980407890 hasConceptScore W1980407890C191795146 @default.
- W1980407890 hasConceptScore W1980407890C199539241 @default.
- W1980407890 hasConceptScore W1980407890C202444582 @default.
- W1980407890 hasConceptScore W1980407890C2778112365 @default.
- W1980407890 hasConceptScore W1980407890C2780617661 @default.
- W1980407890 hasConceptScore W1980407890C32268108 @default.
- W1980407890 hasConceptScore W1980407890C33923547 @default.
- W1980407890 hasConceptScore W1980407890C54355233 @default.
- W1980407890 hasConceptScore W1980407890C62520636 @default.
- W1980407890 hasConceptScore W1980407890C66882249 @default.
- W1980407890 hasConceptScore W1980407890C72319582 @default.
- W1980407890 hasConceptScore W1980407890C86803240 @default.
- W1980407890 hasLocation W19804078901 @default.
- W1980407890 hasOpenAccess W1980407890 @default.
- W1980407890 hasPrimaryLocation W19804078901 @default.
- W1980407890 hasRelatedWork W1786647204 @default.
- W1980407890 hasRelatedWork W1968367812 @default.
- W1980407890 hasRelatedWork W1987301999 @default.
- W1980407890 hasRelatedWork W2009640491 @default.
- W1980407890 hasRelatedWork W2061162689 @default.
- W1980407890 hasRelatedWork W2093237240 @default.
- W1980407890 hasRelatedWork W2106150471 @default.
- W1980407890 hasRelatedWork W2215583735 @default.
- W1980407890 hasRelatedWork W2532811665 @default.
- W1980407890 hasRelatedWork W2615050133 @default.
- W1980407890 hasRelatedWork W2803235669 @default.
- W1980407890 hasRelatedWork W2951350307 @default.
- W1980407890 hasRelatedWork W2956292229 @default.
- W1980407890 hasRelatedWork W3007439165 @default.
- W1980407890 hasRelatedWork W3011642072 @default.
- W1980407890 hasRelatedWork W3092690781 @default.
- W1980407890 hasRelatedWork W3112639138 @default.
- W1980407890 hasRelatedWork W3135455706 @default.
- W1980407890 hasRelatedWork W55081688 @default.
- W1980407890 hasRelatedWork W96856453 @default.
- W1980407890 isParatext "false" @default.
- W1980407890 isRetracted "false" @default.
- W1980407890 magId "1980407890" @default.
- W1980407890 workType "article" @default.