Banach, Fréchet, Hilbert and Neumann Spaces

Nonfiction, Science & Nature, Mathematics
Cover of the book Banach, Fréchet, Hilbert and Neumann Spaces by Jacques Simon, Wiley
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Author: Jacques Simon ISBN: 9781119426530
Publisher: Wiley Publication: May 16, 2017
Imprint: Wiley-ISTE Language: English
Author: Jacques Simon
ISBN: 9781119426530
Publisher: Wiley
Publication: May 16, 2017
Imprint: Wiley-ISTE
Language: English

This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.

Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces.

The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces.

Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.

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This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.

Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces.

The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces.

Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.

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