| Description |
1 online resource |
| Series |
Contemporary mathematics, 0271-4132 ; 750 |
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Centre de Recherches Mathematiques proceedings |
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Contemporary mathematics (American Mathematical Society) ; 750.
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Contemporary mathematics (American Mathematical Society). Centre de recherches mathématiques proceedings.
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| Contents |
3. Non-linear characterizations of Jordan *-isomorphisms on the self-adjoint and positive definite parts of *-algebras -- 4. Additional non-linear characterizations on the self-adjoint and positive definite parts of the full operator algebra ( ) -- References -- Multiplicatively pseudo spectrum-preserving maps -- 1. Introduction -- 2. Main results -- 3. Preliminaries -- 4. Proof of Theorem 2.1 -- 5. Proof of Theorem 2.3 -- 6. Concluding remarks -- References -- On algebraic characterizations of advertibly complete algebras -- 1. Introduction -- 2. Preliminaries |
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3. Characterizations of advertible completeness for general topological algebras -- 4. Characterizations of advertible completeness for GB*-algebras -- References -- Polar decomposition, Aluthge and mean transforms -- 1. Introduction -- 2. Polar decomposition of bounded linear operators on a Hilbert space -- 3. Aluthge transform -- 4. Mean transform -- 5. Mean transform and Schatten -ideals -- 6. Open questions -- References -- Recent progress on local spectrum-preserving maps -- 1. Introduction -- 2. Background from local spectral theory -- 3. Multiplicatively spectrum preserving maps |
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4. Linear maps preserving the local spectrum -- 5. Product and nonlinear local spectra preservers -- 6. Triple product and nonlinear local spectra preservers -- 7. Jordan product and nonlinear local spectra preservers -- 8. Lie product and nonlinear local spectra preservers -- 9. Concluding remarks and open problems -- References -- Sadovskii-type fixed point results for edge-preserving mappings -- 1. Introduction -- 2. Notations and preliminaries -- 3. Fixed points of condensing mappings on a metric space with a monotone distance graph -- Acknowledgements -- References |
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The joint numerical radius on *-algebras -- 1. Introduction and preliminaries -- 2. Statement of the main results. -- 3. Proof of theorem 2.1 -- 4. Proof of theorem 2.3 -- 5. Proof of theorem 2.5 -- 6. Concluding remarks. -- References -- Weighted composition operators on non locally convex weighted spaces with operator-valued weights -- Introduction -- 1. Preliminaries -- 2. Completeness of ( , ) and â‚€( , ) -- 3. Continuous weighted composition operators -- 4. Bounded weighted composition operators -- 5. Locally equicontinuous weighted composition operators -- References |
| Summary |
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 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, whe |
| Subject |
Algebras, Linear -- Congresses
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Multilinear algebra -- Congresses
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Function spaces -- Congresses
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Algebras, Linear
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Function spaces
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Multilinear algebra
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Bourhim, Abdellatif, 1972- editor.
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Mashreghi, Javad, editor
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Oubbi, Lahbib, 1960- editor.
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Abdelali, Zine El Abidine, 1974- editor.
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| ISBN |
9781470456078 |
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1470456079 |
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