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Linear and multilinear algebra and function spaces International Conference, Algebra and Related Topics (ICART 2018) July 2-5, 2018 : Mohammed V University, Rabat, Marocco /

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 cert...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: International Conference on Algebra and Related Topics Rabat, Morocco
Otros Autores: Bourhim, Abdellatif, 1972- (Editor ), Mashreghi, Javad (Editor ), Oubbi, Lahbib, 1960- (Editor ), Abdelali, Zine El Abidine, 1974- (Editor )
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: [Providence, Rhode Island] : American Mathematical Society, [2020]
Colección:Contemporary mathematics (American Mathematical Society) ; 750.
Contemporary mathematics (American Mathematical Society). Centre de recherches mathématiques proceedings.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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
  • 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
  • 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
  • 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 ₀( , )
  • 3. Continuous weighted composition operators
  • 4. Bounded weighted composition operators
  • 5. Locally equicontinuous weighted composition operators
  • References