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Advanced courses of mathematical analysis V : proceedings of the fifth International School, Universidad de Almería, Almería, Spain, 12-16 September 2011 / Juan Carlos Navarro Pascual, El Amin Kaidi (editor)
New Jersey : World Scientific, 2016
xi, 306 pages. ; 24 cm.
Ký hiệu phân loại (DDC): 515
This volume contains recent papers by several specialists in different fields of mathematical analysis. It offers a reasonably wide perspective of the current state of research, and new trends, in areas related to measure theory, harmonic analysis, non-associative structures in functional analysis and summability in locally convex spaces. Those interested in researching any areas of mathematical analysis will find here numerous suggestions on possible topics with an important impact today. Often, the contributions are presented in an expository nature and this makes the discussed topics accessible to a more general audience
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Operator functions and operator equations / M. I. Gilʹ
Singapore : World Scientific Publishing Co. Pte Ltd., 2018
260 pages. : illustrations ; 24 cm.
Ký hiệu phân loại (DDC): 515.724
This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functional-differential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis. A significant part of the book covers the theory of triangular representations of operators that was developed by L de Branges, M S Brodskii, I C Gohberg, M G Krein, M S Livsic and other mathematicians.
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