Volume: 39; 2009; 281 pp; Hardcover
MSC: Primary 46;
Print ISBN: 978-81-85931-87-6
Product Code: HIN/39
List Price: $44.00
AMS Member Price: $35.20
Functional Analysis
Share this pageS. Kesavan
A publication of Hindustan Book Agency
The material presented in this book is suited for a first course in
Functional Analysis which can be followed by master's students. While
all the standard material expected of such a course is covered,
efforts have been made to illustrate the use of various theorems via
examples taken from differential equations and the calculus of
variations, either through brief sections or through exercises. In
fact, this book will be particularly useful for students who would
like to pursue a research career in the applications of
mathematics.
The book includes a chapter on weak and weak* topologies and their
applications to the notions of reflexivity, separability and uniform convexity.
The chapter on the Lebesgue spaces also presents the theory of one of the
simplest classes of Sobolev spaces. The book includes a chapter on compact
operators and the spectral theory for compact self-adjoint operators on a
Hilbert space.
Each chapter has large collection of exercises at the end. These illustrate
the results of the text, show the optimality of the hypotheses of various
theorems via examples or counterexamples, or develop simple versions of
theories not elaborated on in the text.
A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.
Readership
Graduate students interested in functional analysis.