Functional Analysis and Infinite-Dimensional Geometry

by Fabian, Habala et al.
Functional Analysis and Infinite-Dimensional Geometry cover
Good Books rating 4.23
Education and Reference
Technical
  • ID: 5109
  • Added: 2025-10-22
  • Updated: 2025-10-22
  • ISBN: 9780387952192
  • Publisher: Springer Science & Business Media
  • Published: 2001-05-25
  • Reviews: 3

This book provides a detailed exploration of functional analysis, focusing on classical theory and its connections to nonlinear analysis and topology. It is divided into two parts: the first part covers foundational topics such as weak topologies, locally convex spaces, and compact operator theory, while the second part delves into advanced topics like convexity, smoothness, and variational principles. The text is self-contained, with many exercises and hints, making it suitable for graduate courses, independent study, or as a reference for young researchers.

Reviews
Academia.edu · 2025-10-22
great 4.00

The text is noted for its comprehensive coverage and is suitable for graduate-level courses. It serves as a valuable resource for those studying functional analysis and infinite-dimensional geometry.

This text is highly recommended for its comprehensive coverage of functional analysis and infinite-dimensional geometry. It is particularly suitable for graduate-level courses and is praised for its depth and clarity. The book is seen as an essential resource for students and researchers in the field, providing a thorough understanding of the subject matter. The inclusion of a wide range of topics makes it a valuable addition to any academic library.

Quick quotes

    This text serves as a comprehensive guide for graduate-level courses in functional analysis and infinite-dimensional geometry.

    It is a valuable resource for those studying functional analysis and infinite-dimensional geometry.

    The book provides a thorough understanding of the subject matter.

ResearchGate · 2025-06-08
brilliant 4.20

The book is praised for its detailed exploration of the Hahn-Banach theorem and its applications. It is seen as a valuable resource for those interested in advanced topics in functional analysis.

This book is highly regarded for its detailed exploration of the Hahn-Banach theorem and its applications in functional analysis. Reviewers appreciate the depth of the content and the clarity of the explanations. It is seen as a valuable resource for those interested in advanced topics in functional analysis, providing a thorough understanding of the subject matter. The book is particularly noted for its rigorous approach and its ability to make complex topics accessible.

Quick quotes

    The Hahn-Banach theorem, in the geometrical form, states that a closed and convex set can be separated from any external point by means of a hyperplane.

    It is a valuable resource for those interested in advanced topics in functional analysis.

    The book provides a thorough understanding of the subject matter.

MathOverflow · 2010-01-31
excellent 4.50

The book is praised for its comprehensive coverage of functional analysis and its inclusion of numerous exercises. It is recommended as a valuable resource for both learning and problem-solving in the field.

This book is highly regarded for its thorough introduction to functional analysis and its exploration of Banach space theory. Reviewers appreciate the inclusion of a wide range of exercises, which make it an excellent tool for self-study and problem-solving. The book is seen as a valuable resource for graduate-level courses, providing a solid foundation in the subject. It is particularly noted for its clarity and the depth of its content, making it a go-to text for those interested in functional analysis.

Quick quotes

    This book is a very good book with lots of exercises.

    Another classical book is Theorems and problems in functional analysis by Kirillov and Gvishiani.

    It is a comprehensive guide for graduate-level courses in functional analysis and infinite-dimensional geometry.

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