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El. knyga: Operator Algebras, Toeplitz Operators and Related Topics

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This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications.





Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevskis 70th birthday, and the contributions are dedicated to him.





 
Commutative Banach algebras generated by Toeplitz operators on the unit
ball.- Toeplitz operators on Fock space: revisiting some old
problems.- Laplace-Beltrami equation on surfaces with the Lipschitz
boundary.- Reproducing kernels and distinguished metrics.- Fock-Carleson type
measures and horizontal Toeplitz operators.- Asymptotics of all eigenvalues
of large non self-adjoint Toeplitz Matrices.- A semi-classical limit with
applications to Toeplitz algebras.- Solving twofold Ellis-Gohberg inverse
problems.- A C*-algebra of nonlocal convolution type operators.- The Maslov
index and the spectrum of differential operators.- Toeplitz operators on the
unit sphere.- Diagonalization of translation-invariant operators in
reproducing kernel Hilbert spaces.- Toeplitz operators and representation
theory.- On all but m" families of projections.- Szego theorems for singular
Toeplitz operators in the Bargmann space.- Toeplitz operators with radial
symbols.- Schrodinger operators with singular potentials supported
by unbounded hypersurfaces.- Toeplitz Operators on the Poly-Bergman Spaces of
the Upper Half-Plane.- Polyanalytic Spaces.- Algebras Generated by Toeplitz
Operator on the Siegel Domain.- On the essential norms of Toeplitz
operators.- Making the case for pseudodifferential arithmetic.- Reproducing
kernels and Toeplitz operators on Kepler varieties.- Compact quantum surfaces
from the Toeplitz algebra.- Sarason's Toeplitz product problem.
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