Weakly Compact "Matrices", Fubini-Like Property and Extension of Densely Defined Semigroups of Operators
| dc.creator | Levy, Eliahu | |
| dc.date | 2007-04-26 | |
| dc.date | 2008-08-28 | |
| dc.date.accessioned | 2026-07-07T09:58:32Z | |
| dc.date.available | 2026-07-07T09:58:32Z | |
| dc.description | Taking matrix as a synonym for a numerical function on the Cartesian product of two (in general, infinite) sets, a simple purely algebraic "reciprocity property" says that the set of rows spans a finite-dim space iff the set of columns does so. Similar topological reciprocity properties serve to define strongly compact and weakly compact matrices, featured in the well-known basic facts about almost periodic functions and about compact operators. Some properties, especially for the weak compact case, are investigated, such as the connection with the matrix having a Fubini-like property for general means. These are applied to prove possibility of extension to the entire semigroup of bounded densely defined semigroups of operators in a Banach space with weak continuity properties. | |
| dc.description | 8 pages. v2: the exposition has been somewhat improved and unnecessary restrictions removed. v3: added references and acknowledgment | |
| dc.identifier | https://arxiv.org/abs/0704.3558 | |
| dc.identifier | http://arxiv.org/abs/0704.3558 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167753 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Weakly Compact "Matrices", Fubini-Like Property and Extension of Densely Defined Semigroups of Operators | |
| dc.type | text |