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On the Adjoint of a Strongly Continuous Semigroup
Joint Authors
Bárcenas, Diómedes
Mármol, Luis Gerardo
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2007-12-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Using some techniques from vector integration, we prove the weak measurability of the adjoint of strongly continuous semigroups which factor through Banach spaces without isomorphic copy of l1; we also prove the strong continuity away from zero of the adjoint if the semigroup factors through Grothendieck spaces.
These results are used, in particular, to characterize the space of strong continuity of {T**(t)}t≥0, which, in addition, is also characterized for abstract L- and M-spaces.
As a corollary, it is proven that abstract L-spaces with no copy of l1 are finite-dimensional.
American Psychological Association (APA)
Bárcenas, Diómedes& Mármol, Luis Gerardo. 2007. On the Adjoint of a Strongly Continuous Semigroup. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-987609
Modern Language Association (MLA)
Bárcenas, Diómedes& Mármol, Luis Gerardo. On the Adjoint of a Strongly Continuous Semigroup. Abstract and Applied Analysis No. 2008 (2008), pp.1-11.
https://search.emarefa.net/detail/BIM-987609
American Medical Association (AMA)
Bárcenas, Diómedes& Mármol, Luis Gerardo. On the Adjoint of a Strongly Continuous Semigroup. Abstract and Applied Analysis. 2007. Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-987609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987609