This volume gathers contributions from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Bangalore, India, in December 2013. All articles were written by experts and cover a broad range of original material at the cutting edge of operator theory and its applications. Topics include multivariable operator theory, operator theory on indefinite metric spaces (Krein and Pontryagin spaces) and its applications, spectral theory with applications to differential operators, the geometry of Banach spaces, scattering and time varying linear systems, and wavelets and coherent states.
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Preface.- A. Chattopadhyay and K.B. Sinha: Trace Formulae in Operator Theory.- M. Basu and V.S. Sunder: Continuous Minimax Theorems.- D. Goswami and S. Joardar: Deformation by Dual Unitary Cocycles and Generalized Fixed Point Algebra for Quantum Group Actions.- M. Weigt and I. Zarakas: Unbounded Derivations of GB*-algebras.- S. Jhanjee and A. Pryde: Generalized Sunder Inequality.- M.T. Garayev: The Berezin Number, Norm of a Hankel Operator and Related Topics.- M.N.N. Namboodiri, S. Pramod and A.K. Vijayarajan: Cebysev Subspaces of C*-Algebras – a Survey.- J.-P. Antoine: Coherent States and Wavelets, a Contemporary Panorama.- F. Balogh, N.M. Shah and S. Twareque Ali: On Some Families of Complex Hermite Polynomials and their Applications to Physics.- V. Lotoreichik and J. Rohleder: An Eigenvalue Inequality for Schrödinger Operators with δ- and δ’-interactions Supported on Hypersurfaces.- V. Kumar P. and M.S. Balasubramani: A Note on Submaximal Operator Space Structures.- Appendix.
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