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Operator Theory by Example [r-libre/3034]

Morneau-Guérin, Frédéric (2023). Operator Theory by Example [review of the book from Garcia, Stephan Ramon; Mashreghi, Javad, & Ross, William T.]. MAA Reviews.

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Content : Draft Version
 
Item Type: Book Reviews
Refereed: Yes
Status: Published
Abstract: 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.
Additional Information: 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.
Official URL: https://maa.org/press/maa-reviews/operator-theory-...
Depositor: Morneau-Guérin, Frédéric
Owner / Manager: Frédéric Morneau-Guérin
Deposited: 10 Oct 2023 13:25
Last Modified: 10 Oct 2023 13:25

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