Functional Analysis category: 386 books

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals,...

Questo libro esplora gran parte della matematica avanzata, partendo dalla pietra miliare data dall’analisi matematica fino ad arrivare alla geometria differenziale e frattale, alla logica matematica, alla topologia algebrica, alla statistica avanzata e all’analisi numerica. Nel contempo saranno...

This book offers an account of a number of aspects of operator theory, mainly developed since the 1980s, whose problems have their roots in quantum theory. The research presented is in non-commutative operator approximation theory or, to use Halmos' terminology, in operator approximants. Focusing on the concept of approximants, this self-contained book is suitable for graduate courses.

The book presents an introduction to the geometry of Hilbert spaces and operator theory, targeting graduate and senior undergraduate students of mathematics. Major topics discussed in the book are inner product spaces, linear operators, spectral theory and special classes of operators, and Banach...

This concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. Author Paul R. Halmos notes in the Preface that his motivation in writing this text was to make available to a wider audience the results...

Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the early twentieth century, the Lebesgue integral has been a mainstay of mathematical analysis because of...

The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric...

Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration...

Written by an author who was at the forefront of developments in multi-variable spectral theory during the seventies and the eighties, this guide sets out to describe in detail the spectral mapping theorem in one, several and many variables. The basic algebraic systems – semigroups, rings and linear...

The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous...

In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello...

In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello...

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici: monodromia e polidromia in analisi complessa integrali e serie complesse teoremi notevoli di analisi complessa Sono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi

In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici: vettori e operazioni vettoriali spazi vettoriali basi canoniche, ortogonali e ortonormali Sono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi.