Wolfram Bauer - Operator Algebras, Toeplitz Operators and Related Topics

Associate Editors:Founded in 1979 by Israel Gohberg

Series Editors:

Joseph A. Ball (Blacksburg, VA, USA)

Albrecht Bttcher (Chemnitz, Germany)

Harry Dym (Rehovot, Israel)

Heinz Langer (Wien, Austria)

Christiane Tretter (Bern, Switzerland)

Associate Editors:

Vadim Adamyan (Odessa, Ukraine)

Wolfgang Arendt (Ulm, Germany)

B. Malcolm Brown (Cardiff, UK)

Honorary and Advisory Editorial Board:Raul Curto (Iowa, IA, USA)

Kenneth R. Davidson (Waterloo, ON, Canada)

Fritz Gesztesy (Waco, TX, USA)

Pavel Kurasov (Stockholm, Sweden)

Vern Paulsen (Houston, TX, USA)

Mihai Putinar (Santa Barbara, CA, USA)

Ilya Spitkovsky (Abu Dhabi, UAE)

Honorary and Advisory Editorial Board:

Lewis A. Coburn (Buffalo, NY, USA)

Subseries Ciprian Foias (College Station, TX, USA)

Linear Operators and Linear SystemsJ.William Helton (San Diego, CA, USA)

Subseries editors:Marinus A. Kaashoek (Amsterdam, NL)

Thomas Kailath (Stanford, CA, USA)

Peter Lancaster (Calgary, Canada)

Peter D. Lax (New York, NY, USA)

Subseries Bernd Silbermann (Chemnitz, Germany)Harold Widom (Santa Cruz, CA, USA)

Advances in Partial Differential EquationsSubseries

Subseries editors:Linear Operators and Linear Systems

Subseries editors:

Daniel Alpay (Orange, CA, USA)

Birgit Jacob (Wuppertal, Germany)

Andr C.M. Ran (Amsterdam, The Netherlands)

Subseries

More information about this series at http://www.springer.com/series/4850 Advances in Partial Differential Equations

Subseries editors:

Bert-Wolfgang Schulze (Potsdam, Germany)

Michael Demuth (Clausthal, Germany)

Jerome A. Goldstein (Memphis, TN, USA)

Nobuyuki Tose (Yokohama, Japan)

Ingo Witt (Gttingen, Germany)

This series is devoted to the publication of current research in operator theory, with particular emphasis on applications to classical analysis and the theory of integral equations, as well as to numerical analysis, mathematical physics and mathematical methods in electrical engineering.

This book is published under the imprint Birkhuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG

The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

The aim of this volume is to present new results in the theory of Toeplitz operators, algebras of Toeplitz operators, and its applications. In particular, the book is devoted to the topic of boundedness and compactness of Toeplitz operators in p-Fock spaces and to the study of commutative C-algebras of Toeplitz operators in various spaces and over various multidimensional domains. Moreover, new results in the theory of Dirac operators, in the theory of algebras of singular integral operators on general Lebesgue spaces, and in the field of pseudodifferential arithmetic are presented. A number of related topics are discussed too. In total, 20 research papers are included.

The volume is dedicated to professor Nikolai Vasilevski on the occasion of his 70th birthday, and it begins with personal notes written by Wolfram Bauer, Raul Quiroga-Barranco, and Grigori Rozenblum covering the activities of Nikolai Vasilevski over the past 1015 years. This introductory part ends with an article by Sergei Grudsky, Yuri Latushkin, and Michael Shapiro, which appeared earlier on the occasion of the 60th birthday of professor Vasilevski and is devoted to the mathematical achievements and the path of the life of our hero.