Functional Analysis category: 386 books

Cover of Probabilistic Normed Spaces
by Bernardo Lafuerza Guillen, Panackal Harikrishnan
Language: English
Release Date: August 1, 2014

This book provides a comprehensive foundation in Probabilistic Normed (PN) Spaces for anyone conducting research in this field of mathematics and statistics. It is the first to fully discuss the developments and the open problems of this highly relevant topic, introduced by A N Serstnev in the early...
Cover of Inequalities in Analysis and Probability
by Odile Pons
Language: English
Release Date: November 29, 2012

The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds...
Cover of Linear Operators and Their Essential Pseudospectra
by Aref Jeribi
Language: English
Release Date: April 17, 2018

Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include various essential spectra, but the author also considers some of the generalizations that have been...
Cover of Functional Analytic Methods for Partial Differential Equations
by Hiroki Tanabe
Language: English
Release Date: November 22, 2017

Combining both classical and current methods of analysis, this text present discussions on the application of functional analytic methods in partial differential equations. It furnishes a simplified, self-contained proof of Agmon-Douglis-Niremberg's Lp-estimates for boundary value problems, using the theory of singular integrals and the Hilbert transform.
Cover of Non-Associative and Non-Commutative Algebra and Operator Theory

Non-Associative and Non-Commutative Algebra and Operator Theory

NANCAOT, Dakar, Senegal, May 23–25, 2014: Workshop in Honor of Professor Amin Kaidi

by
Language: English
Release Date: November 21, 2016

Presenting the collaborations of over thirty international experts in the latest developments in pure and applied mathematics, this volume serves as an anthology of research with a common basis in algebra, functional analysis and their applications. Special attention is devoted to non-commutative...
Cover of Invertibility and Singularity for Bounded Linear Operators
by Robin Harte
Language: English
Release Date: November 16, 2016

This introduction to functional analysis focuses on the types of singularity that prevent an operator from being invertible. The presentation is based on the open mapping theorem, Hahn-Banach theorem, dual space construction, enlargement of normed space, and Liouville's theorem. Suitable for advanced...
Cover of Regional Analysis of Time-Fractional Diffusion Processes
by Fudong Ge, YangQuan Chen, Chunhai Kou
Language: English
Release Date: January 8, 2018

This monograph provides an accessible introduction to the regional analysis of fractional diffusion processes. It begins with background coverage of fractional calculus, functional analysis, distributed parameter systems and relevant basic control theory. New research problems are then defined in...
Cover of Analysis and Operator Theory

Analysis and Operator Theory

Dedicated in Memory of Tosio Kato’s 100th Birthday

by
Language: English
Release Date: May 31, 2019

Dedicated to Tosio Kato’s 100th birthday, this book contains research and survey papers on a broad spectrum of methods, theories, and problems in mathematics and mathematical physics. Survey papers and in-depth technical papers emphasize linear and nonlinear analysis, operator theory, partial differential...
Cover of Extensions of Rings and Modules
by Gary F. Birkenmeier, Jae Keol Park, S Tariq Rizvi
Language: English
Release Date: July 19, 2013

The "extensions" of rings and modules have yet to be explored in detail in a research monograph. This book presents state of the art research and also stimulating new and further research. Broken into three parts, Part I begins with basic notions, terminology, definitions and a description...
Cover of Lipschitz Algebras
by Nik Weaver
Language: English
Release Date: May 7, 2018

This is the standard reference on algebras of Lipschitz functions, written by the leading figure in the field. The second edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance...
Cover of Functional Analysis
by Peter D. Lax
Language: English
Release Date: August 28, 2014

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. * Assumes prior knowledge of Naive set theory,...
Cover of A Topological Introduction to Nonlinear Analysis
by Robert F. Brown
Language: English
Release Date: November 27, 2014

This third edition is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded...
Cover of Infinite Dimensional Linear Control Systems

Infinite Dimensional Linear Control Systems

The Time Optimal and Norm Optimal Problems

by H.O. Fattorini
Language: English
Release Date: July 12, 2005

For more than forty years, the equation y’(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently,...
Cover of Variable Lebesgue Spaces

Variable Lebesgue Spaces

Foundations and Harmonic Analysis

by Alberto Fiorenza, David V. Cruz-Uribe
Language: English
Release Date: February 12, 2013

This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since...
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