Operator Theory in Different Settings and Related Applications

✍ Scribed by Roland Duduchava, Marinus A. Kaashoek, Nikolai Vasilevski, Victor Vinnikov

Publisher: Springer International Publishing;Birkhäuser
Year: 2018
Tongue: English
Leaves: 313
Series: Operator Theory: Advances and Applications 262
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields. The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, and real algebraic geometry – all of which were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015.

Moreover, the volume includes three special commemorative articles. One of them is dedicated to the memory of Leiba Rodman, another to Murray Marshall, and a third to Boris Khvedelidze, an outstanding Georgian mathematician and one of the founding fathers of the theory of singular integral equations.

The book will be of interest to a broad range of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, as well as specialists in mathematical physics.

✦ Table of Contents

Front Matter ....Pages i-viii
Front Matter ....Pages 1-1
Remembering Leiba Rodman 1949–2015, at IWOTA 2015 (J. A. Ball, M. A. Kaashoek, A. C. M. Ran, I. M. Spitkovsky)....Pages 3-12
Murray A. Marshall, 24.3.1940–1.05.2015 A Brief Mathematical Obituary (Salma Kuhlmann)....Pages 13-20
Front Matter ....Pages 21-21
Interpolation and Transfer-function Realization for the Noncommutative Schur–Agler Class (Joseph A. Ball, Gregory Marx, Victor Vinnikov)....Pages 23-116
Lattice Theory and Toeplitz Determinants (Albrecht Büttcher, Lenny Fukshansky, Stephan Ramon Garcia, Hiren Maharaj)....Pages 117-138
All Solutions to an Operator Nevanlinna–Pick Interpolation Problem (A. E. Frazho, S. ter Horst, M. A. Kaashoek)....Pages 139-220
Front Matter ....Pages 221-221
Projective Quantum Modules and Projective Ideals of C*-algebras (A. Ya. Helemskii)....Pages 223-241
On the Determinacy of the Moment Problem for Symmetric Algebras of a Locally Convex Space (Maria Infusino, Salma Kuhlmann, Murray Marshall)....Pages 243-250
On the Partial Indices of Triangular Matrix Functions with Prescribed Indices of Their Diagonal Entries (K. V. Harutyunyan, A. G. Kamalyan, I. M. Spitkovsky)....Pages 251-285
Toeplitz Operators via Sesquilinear Forms (Grigori Rozenblum, Nikolai Vasilevski)....Pages 287-304
Back Matter ....Pages 305-309

✦ Subjects

Mathematics; Operator Theory; Partial Differential Equations; Integral Equations

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