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Linear topological spaces

  • Stochastic Integration in Banach Spacesby Vidyadhar Mandrekar; Barbara Rüdiger

    Springer International Publishing 2014; US$ 65.16

    Considering Poisson random measures as the driving sources for stochastic (partial) differential equations allows us to incorporate jumps and to model sudden, unexpected phenomena. By using such equations the present book introduces a new method for modeling the states of complex systems perturbed by random sources over time, such as interest rates... more...

  • Introduction to Spectral Theory in Hilbert Spaceby Gilbert Helmberg; H. A. Lauwerier; W. T. Koiter

    Elsevier Science 2014; US$ 72.95

    North-Holland Series in Applied Mathematics and Mechanics, Volume 6: Introduction to Spectral Theory in Hilbert Space focuses on the mechanics, principles, and approaches involved in spectral theory in Hilbert space. The publication first elaborates on the concept and specific geometry of Hilbert space and bounded linear operators. Discussions focus... more...

  • Smooth analysis in Banach spacesby Petr Hájek; Michal Johanis

    De Gruyter 2014; US$ 196.00

    This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What... more...

  • Probabilistic Normed Spacesby Bernardo Lafuerza Guillen; Panackal Harikrishnan

    World Scientific Publishing Company 2014; US$ 70.00 US$ 63.70

    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 1960s as a response to problems of best approximations... more...

  • Vector Measuresby N. Dinculeanu; I. N. Sneddon; M. Stark

    Elsevier Science 2014; US$ 72.95

    International Series of Monographs in Pure and Applied Mathematics, Volume 95: Vector Measures focuses on the study of measures with values in a Banach space, including positive measures with finite or infinite values. This book is organized into three chapters. Chapter I covers classes of sets, set functions, variation and semi-variation of set functions,... more...

  • Metric Embeddingsby Mikhail I. Ostrovskii

    De Gruyter 2013; US$ 168.00

    Embeddings of discrete metric spaces into Banach spaces recently became an important tool in computer science and topology. The purpose of the book is to present some of the most important techniques and results, mostly on bilipschitz and coarse embeddings. The topics include: (1) Embeddability of locally finite metric spaces into Banach... more...

  • Singular Tracesby Steven Lord; Fedor Sukochev; Dmitriy Zanin

    De Gruyter 2012; US$ 140.00

    This book is the first complete study and monograph dedicated to singular traces. The text mathematically formalises the study of traces in a self contained theory of functional analysis. Extensive notes will treat the historical development. The final section will contain the most complete and concise treatment known of the integration... more...

  • Reproducing Kernel Spaces and Applicationsby Daniel Alpay

    Birkhäuser Basel 2012; US$ 108.60

    20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems.... more...

  • Regularization Methods in Banach Spacesby Thomas Schuster; Barbara Kaltenbacher; Bernd Hofmann; Kamil S. Kazimierski

    De Gruyter 2012; US$ 182.00

    Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these problems belong to the class of parameter identification... more...

  • Calculus on Normed Vector Spacesby Rodney Coleman

    Springer New York 2012; US$ 46.69

    This book bridges a gap between introductory and high-level textbooks, showing how calculus on normed vector spaces extends the basic calculus of functions of several variables. Includes many non-trivial applications of the theory and interesting exercises. more...