Download or read book Unitary Invariants in Multivariable Operator Theory written by Gelu Popescu and published by American Mathematical Soc.. This book was released on 2009-06-05 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper concerns unitary invariants for $n$-tuples $T:=(T_1,\ldots, T_n)$ of (not necessarily commuting) bounded linear operators on Hilbert spaces. The author introduces a notion of joint numerical radius and works out its basic properties. Multivariable versions of Berger's dilation theorem, Berger-Kato-Stampfli mapping theorem, and Schwarz's lemma from complex analysis are obtained. The author studies the joint (spatial) numerical range of $T$ in connection with several unitary invariants for $n$-tuples of operators such as: right joint spectrum, joint numerical radius, euclidean operator radius, and joint spectral radius. He also proves an analogue of Toeplitz-Hausdorff theorem on the convexity of the spatial numerical range of an operator on a Hilbert space, for the joint numerical range of operators in the noncommutative analytic Toeplitz algebra $F_n^\infty$.

Download or read book On Certain Invariants in Multivariable Operator Theory written by Devin Cameron Vaughan Greene and published by . This book was released on 2001 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multivariable Operator Theory written by Raúl E. Curto and published by American Mathematical Soc.. This book was released on 1995 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of papers presented at a conference on multivariable operator theory. The articles contain contributions to a variety of areas and topics which may be viewed as forming an emerging new subject. This subject involves the study of geometric rather than topological invariants associated with the general theme of operator theory in several variables. This collection will spur further discussion among the different research groups.

Download or read book Multivariable Operator Theory written by Ernst Albrecht and published by Springer Nature. This book was released on 2024-01-22 with total page 893 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Download or read book Operator Theory on Noncommutative Domains written by Gelu Popescu and published by American Mathematical Soc.. This book was released on 2010 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 964 (third of 5 numbers)."

Download or read book The Extended Field of Operator Theory written by Michael A. Dritschel and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.

Download or read book Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space written by Zeng Lian and published by American Mathematical Soc.. This book was released on 2010 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. The authors prove a multiplicative ergodic theorem and then use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.

Download or read book Operator Theory Operator Algebras and Their Interactions with Geometry and Topology written by Raul E Curto and published by Springer Nature. This book was released on 2020-12-12 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.

Download or read book Invariant Representations of mathrm GSp 2 under Tensor Product with a Quadratic Character written by Ping-Shun Chan and published by American Mathematical Soc.. This book was released on 2010 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 204, number 957 (first of 5 numbers)."

Download or read book Recent Advances in Operator Theory and Operator Algebras written by Hari Bercovici and published by CRC Press. This book was released on 2017-08-07 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.

Download or read book Operator and Matrix Theory Function Spaces and Applications written by Marek Ptak and published by Springer Nature. This book was released on with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Harmonic Analysis of Operators on Hilbert Space written by Béla Sz Nagy and published by Springer Science & Business Media. This book was released on 2010-09-01 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 1950-70. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory, including the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition.

Download or read book Composition Operators on Hardy Orlicz Spaces written by Pascal Lefèvre and published by American Mathematical Soc.. This book was released on 2010 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Psi grows rapidly: compactness, weak compactness, to be p-summing, order bounded, ... , and show how these notions behave according to the growth of Psi. They introduce an adapted version of Carleson measure. They construct various examples showing that their results are essentially sharp. In the last part, they study the case of Bergman-Orlicz spaces."--Publisher's description.

Download or read book On a Conjecture of E M Stein on the Hilbert Transform on Vector Fields written by Michael Thoreau Lacey and published by American Mathematical Soc.. This book was released on 2010 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 965 (fourth of 5 numbers)."

Download or read book Banach Algebras on Semigroups and on Their Compactifications written by Harold G. Dales and published by American Mathematical Soc.. This book was released on 2010 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 966 (end of volume)."

Download or read book Approximate Homotopy of Homomorphisms from C X into a Simple C Algebra written by Huaxin Lin and published by American Mathematical Soc.. This book was released on 2010 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 963 (second of 5 numbers)."

Download or read book Unfolding CR Singularities written by Adam Coffman and published by American Mathematical Soc.. This book was released on 2010 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 962 (first of 5 numbers)."