عنوان

Metrics, norms, inner products, and operator theory /

شابک

3319653229

شابک

9783319653228

شابک اشتباه

3319653210

شابک اشتباه

9783319653211

عنوان اصلي

Metrics, norms, inner products, and operator theory /

نام عام مواد

[Book]

نام نخستين پديدآور

Christopher Heil.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Birkhäuser,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (xxi, 359 pages) :

ساير جزييات

illustrations.

عنوان فروست

Applied and numerical harmonic analysis,

شاپا ي ISSN فروست

2296-5009

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Preface -- Notation and Preliminaries -- Metric Spaces -- Norms and Banach Spaces -- Further Results on Banach Spaces -- Inner Products and Hilbert Spaces -- Operator Theory -- Operators and Hilbert Spaces.

بدون عنوان

0

متن يادداشت

This text is a self-contained introduction to the three main families that we encounter in analysis - metric spaces, normed spaces, and inner product spaces - and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the "science of functions." Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of ℓp topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle. The text is constructed in such a way that instructors have the option whether to include more advanced topics. Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level course. Instructors have several options for building a course around the text depending on the level and interests of their students. Key features: Aimed at students who have a basic knowledge of undergraduate real analysis. All of the required background material is reviewed in the first chapter. Suitable for undergraduate-level courses; no familiarity with measure theory is required. Extensive exercises complement the text and provide opportunities for learning by doing. A separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com/978-3-319-65321-1). Unique text providing an undergraduate-level introduction to metrics, norms, inner products, and their associated operator theory.--

شماره استاندارد بين المللي کتاب و موسيقي

3319653210

موضوع مستند نشده

Banach spaces.

موضوع مستند نشده

Mathematical analysis.

موضوع مستند نشده

Operator theory.

موضوع مستند نشده

Functional Analysis.

موضوع مستند نشده

Operator Theory.

موضوع مستند نشده

Banach spaces.

موضوع مستند نشده

Mathematical analysis.

موضوع مستند نشده

Operator theory.

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Heil, Christopher,1960-

تاريخ عمليات

20200823102244.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y