Linear and Multilinear Algebra and Function Spaces: International Conference Algebra and Related Topics (Icart 2018) July 2-5, 2018 Mohammed V University , Rabat, Morocco (Contemporary Mathematics)
Language: English
Published by Amer Mathematical Society
- Softcover
- New

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- Title
- Linear and Multilinear Algebra and Function Spaces: International Conference Algebra and Related Topics (Icart 2018) July 2-5, 2018 Mohammed V University , Rabat, Morocco (Contemporary Mathematics)
- Publisher
- Amer Mathematical Society
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 1470446936
- ISBN 13
- 9781470446932
Linear reserver problems demand the characterization of linear maps between algebras that leave invariant certain properties or certain subsets or relations. One of the most intractable unsolved problems in is Kaplansky's conjecture: every surjective unital invertibility preserving linear map between two semisimple Banach algebras is a Jordan homomorphism. Recently, there has been an upsurge of interest in nonlinear preservers, where the maps studied are no longer assumed linear but instead a weak algebraic condition is somehow involved through the preserving property.
This volume contains several articles on various aspects of preservers, including such topics as Jordan isomorphisms, Aluthge transform, joint numerical radius on $C^*$-algebras, advertible complete algebras, and Gelfand-Mazur algebras. The volume also contains a survey on recent progress on local spectrum-preserving maps. Several articles in the volume present results about weighted spaces and algebras of holomorphic or harmonic functions, including biduality in weighted spaces of analytic functions, interpolation in the analytic Wiener algebra, and weighted composition operators on non-locally convex weighted spaces.
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About the Author
J. Mashreghi, Universite Laval, Quebec, Canada.L. Oubbi, Mohammed V University, Rabat, Morocco.Z. Abdelali, Mohammed V University, Rabat, Morocco.
"About the title" may belong to another edition of this title.
Majestic Books
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