| 書目名稱 | Counterexamples in Operator Theory | | 編輯 | Mohammed Hichem Mortad | | 視頻video | http://file.papertrans.cn/240/239089/239089.mp4 | | 概述 | Presents over 500 counterexamples in operator theory at varying levels of difficulty.Includes counterexamples on both bounded and unbounded linear operators, many of which are the author’s original wo | | 圖書封面 |  | | 描述 | This text is the first of its kind exclusively devoted to counterexamples in operator theory and includes over 500 problems on bounded and unbounded linear operators in Hilbert spaces. This volume is geared towards graduate students studying operator theory, and the author has designated the difficulty level for each counterexample, indicating which ones are also suitable for advanced undergraduate students..The first half of the book focuses on bounded linear operators, including counterexamples in the areas of operator topologies, matrices of bounded operators, square roots, the spectrum, operator exponentials, and non-normal operators. The second part of the book is devoted to unbounded linear operators in areas such as closedness and closability, self-adjointness, normality, commutativity, and the spectrum, concluding with a chapter that features some open problems. Chapters begin with a brief “Basics” section for the readers’ reference, andmany of the counterexamples included are the author’s original work.?.Counterexamples in Operator Theory. can be used by students in graduate courses on operator theory and advanced matrix theory. Previous coursework in advanced linear algeb | | 出版日期 | Textbook 2022 | | 關(guān)鍵詞 | bounded and unbounded operators; counterexamples in operator theory; Fuglede-Putnam theorem; unbounded | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-97814-3 | | isbn_softcover | 978-3-030-97816-7 | | isbn_ebook | 978-3-030-97814-3 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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