Operator Theory by Example [r-libre/3034]

Morneau-Guérin, Frédéric (2023). Operator Theory by Example [compte rendu de l'ouvrage de Garcia, Stephan Ramon; Mashreghi, Javad et Ross, William T.]. MAA Reviews.

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Catégorie de document :	Comptes rendus d'ouvrages
Évaluation par un comité de lecture :	Oui
Étape de publication :	Publié
Résumé :	When it comes to teaching mathematics, it quickly becomes apparent that pedagogical and didactic interests are never perfectly aligned. The quality of a textbook therefore depends on how well the authors manage to reconcile these conflicting interests. In this respect, we must admit that the authors of Operator Theory by Examples, Stephan Ramon Garcia, Javad Mashreghi and William T. Ross, have managed to find the ideal balance. As the title suggests, this book places a strong emphasis on instructive examples. Moreover, it is important to specify that this book is less focused on concepts than on specific operators such as the unilateral and bilateral shift operators, Cesàro operators, Volterra operator, Bishop operator, Toeplitz and Hankel operators, or Dirichlet and Bergman shift operators. In other words, the theory of operators is developed in conjunction with the study of concrete properties (norm, spectrum, compactness, invariant subspaces, etc.) of the operators under consideration, rather than in the abstract.
Informations complémentaires :	Permission to make copies of individual articles, in paper or electronic form, including posting on personal and class web pages, for educational and scientific use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear the following copyright notice: [Copyright the Mathematical Association of America 2020. All rights reserved.] Abstracting with credit is permitted. To copy otherwise or to republish, requires specific permission of the MAA's Director of Publications Operations and possibly a fee.
Adresse de la version officielle :	https://maa.org/press/maa-reviews/operator-theory-...
Déposant:	Morneau-Guérin, Frédéric
Responsable :	Frédéric Morneau-Guérin
Dépôt :	10 oct. 2023 13:25
Dernière modification :	10 oct. 2023 13:25

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