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List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Softcover ISBN:  9781470446932 
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Product Code:  CONM/750.B 
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Softcover ISBN:  9781470446932 
Product Code:  CONM/750 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
eBook ISBN:  9781470456078 
Product Code:  CONM/750.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Softcover ISBN:  9781470446932 
eBook ISBN:  9781470456078 
Product Code:  CONM/750.B 
List Price:  $240.00 $180.00 
MAA Member Price:  $216.00 $162.00 
AMS Member Price:  $192.00 $144.00 

Book DetailsContemporary MathematicsCentre de Recherches Mathématiques ProceedingsVolume: 750; 2020; 213 ppMSC: Primary 15; 16; 30; 46; 47
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, 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 GelfandMazur algebras. The volume also contains a survey on recent progress on local spectrumpreserving 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 nonlocally convex weighted spaces.
ReadershipGraduate students and research mathematicians interested in linear analysis and function spaces.

Table of Contents

Articles

Christopher Boyd and Pilar Rueda — Biduality in weighted spaces of analytic functions

O. ElFallah and K. Kellay — Interpolation with functions in the analytic Wiener algebra

Lajos Molnár — Jordan isomorphisms as preservers

Zine El Abidine Abdelali and Hamid Nkhaylia — Multiplicatively pseudo spectrumpreserving maps

Martin Weigt and Ioannis Zarakas — On algebraic characterizations of advertibly complete algebras

Fadil Chabbabi and Mostafa Mbekhta — Polar decomposition, Aluthge and mean transforms

Abdellatif Bourhim and Javad Mashreghi — Recent progress on local spectrumpreserving maps

M. R. Alfuraidan and N. Machrafi — Sadovskiitype fixed point results for edgepreserving mappings

Mohamed Mabrouk — The joint numerical radius on $C^*$algebras

Mohammed Klilou and Lahbib Oubbi — Weighted composition operators on non locally convex weighted spaces with operatorvalued weights

Matej Brešar and Peter Šemrl — Zero product preserving maps on matrix rings over division rings


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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 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 GelfandMazur algebras. The volume also contains a survey on recent progress on local spectrumpreserving 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 nonlocally convex weighted spaces.
Graduate students and research mathematicians interested in linear analysis and function spaces.

Articles

Christopher Boyd and Pilar Rueda — Biduality in weighted spaces of analytic functions

O. ElFallah and K. Kellay — Interpolation with functions in the analytic Wiener algebra

Lajos Molnár — Jordan isomorphisms as preservers

Zine El Abidine Abdelali and Hamid Nkhaylia — Multiplicatively pseudo spectrumpreserving maps

Martin Weigt and Ioannis Zarakas — On algebraic characterizations of advertibly complete algebras

Fadil Chabbabi and Mostafa Mbekhta — Polar decomposition, Aluthge and mean transforms

Abdellatif Bourhim and Javad Mashreghi — Recent progress on local spectrumpreserving maps

M. R. Alfuraidan and N. Machrafi — Sadovskiitype fixed point results for edgepreserving mappings

Mohamed Mabrouk — The joint numerical radius on $C^*$algebras

Mohammed Klilou and Lahbib Oubbi — Weighted composition operators on non locally convex weighted spaces with operatorvalued weights

Matej Brešar and Peter Šemrl — Zero product preserving maps on matrix rings over division rings