ENGLISH

Measure-Theoretic Calculus in Abstract Spaces - On the Playground of Infinite-Dimensional Spaces

By Zigang Pan

Book information

Publisher
Birkhäuser
Year
2024
ISBN
9783031219115, 9783031219122
DOI
10.1007/978-3-031-21912-2
Language
english
Format
PDF
Filesize
14 MB (14692164 bytes)
Edition
1
Pages
933\951
Topic
Mathematics\\Analysis
Orientation
yes
Paginated
no
Scanned
portrait
Time added
2024-01-25 19:19:08
Banach SpacesHilbert SpacesMeasure TheoryOptimizationProbability TheorySobolev spacesSpectral TheoryTopology

Description

This monograph provides a rigorous, encyclopedic treatment of the fundamental topics in real analysis, functional analysis, and measure theory. The result of many years of the author’s careful and extensive work, this text synthesizes and builds upon the existing literature in an effort to develop and solidify the theory of measure-theoretic calculus in abstract spaces. Standard results and proofs are illustrated in general abstract settings under rigorous treatment, and numerous ancillary topics are also covered in detail, such as functional analytic treatment of optimization, probability theory, and the theory of Sobolev spaces. Applied mathematicians and researchers working in control theory, operations research, economics, optimization theory, and many other areas will find this text to be a comprehensive and invaluable resource. It can also serve as an analysis textbook for graduate-level students.

Similar books