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Linear and Multilinear Algebra and Function Spaces (Paperback)
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Linear and Multilinear Algebra and Function Spaces (Paperback)
Series: Contemporary Mathematics
Expected to ship within 12 - 17 working days
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This volume contains the proceedings of the International
Conference on Algebra and Related Topics, held from July 2-5, 2018,
at Mohammed V University, Rabat, Morocco. 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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