Recent trends in operator theory and applications : Workshop, Recent Trends in Operator Theory and Applications, May 3-5, 2018, the University of Memphis, Memphis, TN

書誌事項

Recent trends in operator theory and applications : Workshop, Recent Trends in Operator Theory and Applications, May 3-5, 2018, the University of Memphis, Memphis, TN

Fernanda Botelho, editor

(Contemporary mathematics, 737)

American Mathematical Society, c2019

タイトル別名

Trends in operator theory

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注記

Includes bibliographical references

内容説明・目次

内容説明

This volume contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018), held from May 3-5, 2018, at the University of Memphis, Memphis, Tennessee. The articles introduce topics from operator theory to graduate students and early career researchers. Each such article provides insightful references, selection of results with articulation to modern research and recent advances in the area. Topics addressed in this volume include: generalized numerical ranges and their application to study perturbation of operators, and connections to quantum error correction; a survey of results on Toeplitz operators, and applications of Toeplitz operators to the study of reproducing kernel functions; results on the 2-local reflexivity problem of a set of operators; topics from the theory of preservers; and recent trends on the study of quotients of tensor product spaces and tensor operators. It also includes research articles that present overviews of state-of-the-art techniques from operator theory as well as applications to recent research trends and open questions. A goal of all articles is to introduce topics within operator theory to the general public.

目次

G. Botelho, R. Causey, and K. V. Navoyan, Sequence spaces on Banach lattices S. Botelho-Andrade and C.-K. Li, Generalized numerical ranges, dilation, and quantum error correction M. C. Camara and C. Carteiro, Toeplitz kernels and finite rank truncated Toeplitz operators F. Chabbabi and M. Mbekhta, Commuting maps with the mean transform S. Daptari and T. Paul, Some geometric properties of relative Chebyshev centres in Banach spaces O. Hatori and S. Oi, 2-local isometries on function spaces D. Ilisevic and L. Oliveira, When is a finite sum of box operators on a JB*-triple a Hermitian projection? K. Kawamura, H. Koshimizu, and T. Miura, 2-local isometries on $C^{(n)}([0,1])$ Monika and T. S. S. R. K. Rao, Quotients of tensor product spaces T. S. S. R. K. Rao, Into isometries of Banach spaces H. Renaud, Results on topological properties of operators on function spaces J. E. Stovall and W. A. Feldman, Support sets of nonlinear functionals M. Kester Thomas, Statistical approximation by generalized unitary discrete operators.

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