Tanja Eisner's Books

Stability of Operators and Operator Semigroups

By: Tanja Eisner

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Stability of Operators and Operator Semigroups

By: Tanja Eisner

The asymptotic behaviour, in particular "stability" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.

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Page Count

208

Publisher

Birkhäuser

Published Date

ISBN 10

3034601956

ISBN 13

9783034601955

Operator Theoretic Aspects of Ergodic Theory

By: Tanja Eisner,Bálint Farkas,Markus Haase,Rainer Nagel

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Operator Theoretic Aspects of Ergodic Theory

By: Tanja Eisner,Bálint Farkas,Markus Haase,Rainer Nagel

Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory. Topics include: • an intuitive introduction to ergodic theory • an introduction to the basic notions, constructions, and standard examples of topological dynamical systems • Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand–Naimark theorem • measure-preserving dynamical systems • von Neumann’s Mean Ergodic Theorem and Birkhoff’s Pointwise Ergodic Theorem • strongly and weakly mixing systems • an examination of notions of isomorphism for measure-preserving systems • Markov operators, and the related concept of a factor of a measure preserving system • compact groups and semigroups, and a powerful tool in their study, the Jacobs–de Leeuw–Glicksberg decomposition • an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai,and Hindman, Furstenberg’s Correspondence Principle, theorems of Roth and Furstenberg–Sárközy) Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory

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Page Count

630

Publisher

Springer

Published Date

ISBN 10

3319168983

ISBN 13

9783319168982

Cellular Mechanics and Biophysics

Structure and Function of Basic Cellular Components Regulating Cell Mechanics

By: Claudia Tanja Mierke

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Cellular Mechanics and Biophysics

Structure and Function of Basic Cellular Components Regulating Cell Mechanics

By: Claudia Tanja Mierke

This book focuses on the mechanical properties of cells, discussing the basic concepts and processes in the fields of immunology, biology, and biochemistry. It introduces and explains state-of-the-art biophysical methods and examines the role of mechanical properties in the cell/protein interaction with the connective tissue microenvironment. The book presents a unique perspective on cellular mechanics and biophysics by combining the mechanical, biological, physical, biochemical, medical, and immunological views, highlighting the importance of the mechanical properties of cells and biophysical measurement methods. The book guides readers through the complex and growing field of cellular mechanics and biophysics, connecting and discussing research findings from different fields such as biology, cell biology, immunology, physics, and medicine. Featuring suggestions for further reading throughout and addressing a wide selection of biophysical topics, this book is an indispensable guide for graduate and advanced undergraduate students in the fields of cellular mechanics and biophysics.

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Page Count

919

Publisher

Springer Nature

Published Date

ISBN 10

3030585328

ISBN 13

9783030585327

Operator Theoretic Aspects of Ergodic Theory

By: Tanja Eisner,Bálint Farkas,Markus Haase,Rainer Nagel

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Operator Theoretic Aspects of Ergodic Theory

By: Tanja Eisner,Bálint Farkas,Markus Haase,Rainer Nagel

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

630

Publisher

Springer

Published Date

ISBN 10

3319168983

ISBN 13

9783319168982

Book's by Tanja Eisner

Stability of Operators and Operator Semigroups

Stability of Operators and Operator Semigroups

Operator Theoretic Aspects of Ergodic Theory

Operator Theoretic Aspects of Ergodic Theory

Cellular Mechanics and Biophysics

Cellular Mechanics and Biophysics

Operator Theoretic Aspects of Ergodic Theory

Operator Theoretic Aspects of Ergodic Theory

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