Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Elementary Operator Theory

Elementary Operator Theory

Markin, Marat V.

Paperback

Series: de Gruyter Textbook

General Mathematics

Publisher Price: $92.99

ISBN10: 311060096X
ISBN13: 9783110600964
Publisher: de Gruyter
Published: Apr 6 2020
Pages: 425
Weight: 1.80
Height: 1.00 Width: 6.70 Depth: 9.30
Language: English

The book is intended as a text for a one-semester graduate course in operator theory to be taught from scratch'', not as a sequel to a functional analysis course, with the basics of the spectral theory of linear operators taking the center stage.

The book consists of six chapters and appendix, with the material flowing from the fundamentals of abstract spaces (metric, vector, normed vector, and inner product), the Banach Fixed-Point Theorem and its applications, such as Picard's Existence and Uniqueness Theorem, through the basics of linear operators, two of the three fundamental principles (the Uniform Boundedness Principle and the Open Mapping Theorem and its equivalents: the Inverse Mapping and Closed Graph Theorems), to the elements of the spectral theory, including Gelfand's Spectral Radius Theorem and the Spectral Theorem for Compact Self-Adjoint Operators, and its applications, such as the celebrated Lyapunov Stability Theorem.

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