Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Almost periodic functions --- Functional equations --- Banach spaces

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Differential equations --- Banach spaces --- Linear operators --- 51 --- Mathematics --- 51 Mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, 3E, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular cha

Hilbert space. --- Hilbert, Espaces de --- Banach spaces --- Hyperspace --- Inner product spaces --- Hilbert, Espaces de. --- Analytical spaces

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Differential equations in abstract spaces

Banach spaces. --- Differential equations. --- Nonlinear operators. --- Operators, Nonlinear --- 517.91 Differential equations --- Differential equations --- Operator theory --- Functions of complex variables --- Generalized spaces --- Topology --- Banach spaces --- Nonlinear operators --- 517.91 --- Numerical solutions

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.

Convex functions --- Banach spaces --- Geometry, Non-Euclidean --- Convex functions. --- Banach spaces. --- Geometry, Non-Euclidean. --- Non-Euclidean geometry --- Geometry --- Parallels (Geometry) --- Functions of complex variables --- Generalized spaces --- Topology --- Functions, Convex --- Functions of real variables --- Foundations