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The Diversity and Beauty of Applied Operator Theory [Hardcover]

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Category: Books (Mathematics)
Author: Bottcher, Albrecht
Author: Bottcher, Albrecht
ISBN-10: 3319759957
ISBN-10: 3319759957
ISBN-13: 9783319759951
ISBN-13: 9783319759951
Publisher: Birkh?user
Publisher: Birkh?user
Binding: Hardcover
Binding: Hardcover
Pub Date: 01-Jan-2018
Pub Date: 01-Jan-2018
SKU: 3319759957-11-SPRI
SKU: 3319759957-11-SPRI
Item ID: 101260110
List Price: $199.99

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This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators,  Schr?dinger, Dirac, and Kortweg-de Vries operators,  Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more.

The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.

Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: The storage function approach.- Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic.- Spectral regularity of a C*-algebra generated by two-dimensional singular integral operators.- A spectral shift function for Schr?dinger operators with singular interactions.- Quantum graph with the Dirac operator and resonance states completeness.- Robert Sheckley's Answerer for two orthogonal projections.- Toeplitz kernels and model spaces.- Frames, operator representations, and open problems.- A survey on solvable sesquilinear forms.- An application of limiting interpolation to the Fourier series theory.- Isomorphisms of AC() spaces for countable sets.- Restricted inversion of split-Bezoutians.- General#,