| 书目名称 | The Elements of Operator Theory | | 编辑 | Carlos S. Kubrusly | | 视频video | | | 概述 | Second edition of a popular textbook.More than 300 rigorous proofs, specially tailored to the presentation.Nearly 150 examples, and several interesting counterexamples, that demonstrate the frontiers | | 图书封面 |  | | 描述 | .This fully revised, updated, and corrected edition of .The Elements of Operator Theory. includes a significant expansion of problems and solutions used to illustrate the principles of operator theory. Written in a user-friendly, motivating style, it covers the fundamental topics of the field in a systematic fashion while avoiding a formula-calculation approach. The book maintains the logical and linear organization of the title’s first edition, progressing through set theory, algebraic structures, topological structures, Banach spaces, and Hilbert spaces before culminating in a discussion of the Spectral Theorem..A self-contained textbook, .The Elements of Operator Theory, Second Edition. is an excellent resource for the classroom as well as a self-study reference for researchers. Prerequisites comprise an introduction to analysis and basic experience with functions of a complex variable, which most first-year graduate students in mathematics, engineering, or other formal sciences have already acquired. Measure theory and integration theory are necessary only for the last section of the final chapter.. | | 出版日期 | Textbook 2011Latest edition | | 关键词 | Banach spaces; Hilbert spaces; Spectral Theorem; algebraic structures; functional analysis; operator theo | | 版次 | 2 | | doi | https://doi.org/10.1007/978-0-8176-4998-2 | | isbn_ebook | 978-0-8176-4998-2 | | copyright | Springer Science+Business Media, LLC 2011 |
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发表于 2025-3-21 19:27:28
