Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology : Ronald G. Douglas Memorial Volume. 1st ed. 2020

種類:

電子ブック

責任表示:

edited by Raul E Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2020

著者名:

Curto, Raul E.

Helton, William.

Lin, Huaxin.

Tang, Xiang.

Yang, Rongwei.

Yu, Guoliang.

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シリーズ名:

Operator Theory: Advances and Applications ; 278

ISBN:

9783030433802 [3030433803]    

注記:

Following in the Footsteps of Ronald G. Douglas -- Functional Models for Commuting Hilbert space Contractions -- The Extended Aluthge Transform -- Open Problems in Wavelet Theory -- When is Every Quasi-multiplier a Multiplier? -- Isomorphism in Wavelets II -- Nevanlinna-Pick Families and Singular Rational Varieties -- On Certain Commuting Isometries, Joint Invariant Subspaces and C*-algebras -- Spectral Analysis, Model Theory and Applications of Finite-Rank Perturbations -- Invariance of the Essential Spectra of Operator Pencils -- Decomposition of the Tensor Product of two Hilbert Modules -- A Survey on Classification of C*-Algebras with the Ideal Property -- A Survey on the Arveson-Douglas Conjecture -- Cauchy-Riemann Equation for Free Noncommutative Functions -- Uniform Roe Algebras and Geometric RD Property -- Integral Curvature and Similarity of Cowen-Douglas Operators -- Singular Subgroups in ¥widetilde{A}_2-groups and Their von Neumann Algebras -- A K-theoretic Selberg Trace Formula -- Singular Hilbert
This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.

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