Andere Kunden interessierten sich auch für
![Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications]( "Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications")
Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications75,99 €![Recent Advances in Operator Theory in Hilbert and Krein Spaces]( "Recent Advances in Operator Theory in Hilbert and Krein Spaces")
Recent Advances in Operator Theory in Hilbert and Krein Spaces160,49 €![Nuclear Locally Convex Spaces]( "Nuclear Locally Convex Spaces")
Nuclear Locally Convex Spaces39,99 €![Basic Monotonicity Methods with Some Applications]( "Basic Monotonicity Methods with Some Applications")
Basic Monotonicity Methods with Some Applications34,99 €![An Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces]( "An Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces")
An Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces48,14 €![A Primer on Hilbert Space Operators]( "A Primer on Hilbert Space Operators")
A Primer on Hilbert Space Operators34,99 €![A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations]( "A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations")
A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations41,99 €
This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach's theorem on weak_-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein's theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D( ) and the space of distributions, and the Krein-Milman theorem.
The book adopts an "economic" approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
The book adopts an "economic" approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
"The material of the book is very carefully developed and even includes an introduction into the basics of topological and metric spaces. ... At the beginning of each chapter, a brief outline of the subjects treated therein is given, while at the end, notes, comments and suggestions for further reading are included. ... The book ends with an extensive reference list, an index and a very helpful index of notations." (Wolfgang Lusky, Mathematical Reviews, December, 2021)
"The book may be highly recommended to all students and researchers with some knowledge of Banach or Hilbert space oriented functional analysis who want to learn its general abstract foundations." (Jochen Wengenroth, zbMATH 1453.46001, 2021)
"The book may be highly recommended to all students and researchers with some knowledge of Banach or Hilbert space oriented functional analysis who want to learn its general abstract foundations." (Jochen Wengenroth, zbMATH 1453.46001, 2021)