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Author : Elvira Coimbra
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.3/5 (91 download)
Download or read book On operators that preserve the best approximation in vectorial-normed spaces written by Elvira Coimbra and published by . This book was released on 1980 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elvira Júlia Conceição Matias da Coimbra
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Best Approximation in Vectorially Normed Spaces written by Elvira Júlia Conceição Matias da Coimbra and published by . This book was released on 1982 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : JoÃo De Deus Marques
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Hahn-Banach Theorem in Vectorially Normed Spaces written by JoÃo De Deus Marques and published by . This book was released on 1997 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sorin G. Gal
Publisher : Springer Science & Business Media
ISBN 13 : 0817647031
Total Pages : 359 pages
Book Rating : 4.8/5 (176 download)
Download or read book Shape-Preserving Approximation by Real and Complex Polynomials written by Sorin G. Gal and published by Springer Science & Business Media. This book was released on 2010-06-09 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, fluid mechanics, and engineering Contains many open problems to spur future research Rich and updated bibliography
Author : Pedro Bruno Teodoro Braumann
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Concepts of Measure and Probability written by Pedro Bruno Teodoro Braumann and published by . This book was released on 1998 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maria Helena Almeida Santos
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.3/5 (91 download)
Download or read book Stable Congruences Associated with Inverse Transversals written by Maria Helena Almeida Santos and published by . This book was released on 1999 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elvira Júlia Conceição Matias da Coimbra
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.3/5 (91 download)
Download or read book On isometric operators in vectorially normed spaces written by Elvira Júlia Conceição Matias da Coimbra and published by . This book was released on 1981 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : João Tiago Mexia
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.3/5 (91 download)
Download or read book Intrinsic Geometry of F Tests written by João Tiago Mexia and published by . This book was released on 2000 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.3/5 (91 download)
Download or read book Reviews in Operator Theory, 1980-86 written by American Mathematical Society and published by . This book was released on 1989 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arpita Mal
Publisher : Springer Nature
ISBN 13 : 981997111X
Total Pages : 258 pages
Book Rating : 4.8/5 (199 download)
Download or read book Birkhoff-James Orthogonality and Geometry of Operator Spaces written by Arpita Mal and published by Springer Nature. This book was released on 2024 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of BirkhoffJames orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space operators and is yet to be understood completely for operators between Banach spaces. The book explores the interrelation between B-J orthogonality in the ground space and in the space of operators in its fullest generality. The book further explores the concept of approximate B-J orthogonality and investigated its geometry both in the ground space as well as in the space of operators. It highlights important geometric properties like smoothness and k-smoothness of bounded linear operators, extreme contractions and symmetricity of bounded linear operators defined between Hilbert spaces as well as Banach spaces.
Author : Mikhail Popov
Publisher : Walter de Gruyter
ISBN 13 : 3110263343
Total Pages : 336 pages
Book Rating : 4.1/5 (12 download)
Download or read book Narrow Operators on Function Spaces and Vector Lattices written by Mikhail Popov and published by Walter de Gruyter. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.
Author : Kenneth Hoffman
Publisher : Courier Dover Publications
ISBN 13 : 0486833658
Total Pages : 449 pages
Book Rating : 4.4/5 (868 download)
Download or read book Analysis in Euclidean Space written by Kenneth Hoffman and published by Courier Dover Publications. This book was released on 2019-07-17 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings addresses implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a Bibliography, List of Symbols, Index, and an Appendix with background in elementary set theory.
Author : Frank R. Deutsch
Publisher : Springer Science & Business Media
ISBN 13 : 1468492985
Total Pages : 344 pages
Book Rating : 4.4/5 (684 download)
Download or read book Best Approximation in Inner Product Spaces written by Frank R. Deutsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra.
Author : Simeon Reich
Publisher : Springer Science & Business Media
ISBN 13 : 1461495334
Total Pages : 529 pages
Book Rating : 4.4/5 (614 download)
Download or read book Genericity in Nonlinear Analysis written by Simeon Reich and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences. Each chapter is self-contained; proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach space, and the structure of minimal energy configurations with rational numbers in the Aubry–Mather theory.
Author : David G. Luenberger
Publisher : John Wiley & Sons
ISBN 13 : 9780471181170
Total Pages : 348 pages
Book Rating : 4.1/5 (811 download)
Download or read book Optimization by Vector Space Methods written by David G. Luenberger and published by John Wiley & Sons. This book was released on 1997-01-23 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
Author : Mark S. Gockenbach
Publisher : CRC Press
ISBN 13 : 143981564X
Total Pages : 674 pages
Book Rating : 4.4/5 (398 download)
Download or read book Finite-Dimensional Linear Algebra written by Mark S. Gockenbach and published by CRC Press. This book was released on 2011-06-15 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation. The author begins with an overview of the essential themes of the book: linear equations, best approximation, and diagonalization. He then takes students through an axiomatic development of vector spaces, linear operators, eigenvalues, norms, and inner products. In addition to discussing the special properties of symmetric matrices, he covers the Jordan canonical form, an important theoretical tool, and the singular value decomposition, a powerful tool for computation. The final chapters present introductions to numerical linear algebra and analysis in vector spaces, including a brief introduction to functional analysis (infinite-dimensional linear algebra). Drawing on material from the author’s own course, this textbook gives students a strong theoretical understanding of linear algebra. It offers many illustrations of how linear algebra is used throughout mathematics.
Author : Sever Silvestru Dragomir
Publisher : Nova Biomedical Books
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.X/5 (4 download)
Download or read book Semi-inner Products and Applications written by Sever Silvestru Dragomir and published by Nova Biomedical Books. This book was released on 2004 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semi-inner products, that can be naturally defined in general Banach spaces over the real or complex number field, play an important role in describing the geometric properties of these spaces. This new book dedicates 17 chapters to the study of semi-inner products and its applications. The bibliography at the end of each chapter contains a list of the papers cited in the chapter. The interested reader may find more information on the subject by consulting the list of papers provided at the end of the work. The book is intended for use by both researchers and postgraduate students interested in functional analysis. It also provides helpful tools to mathematicians using functional analysis in other domains such as: linear and non-linear operator theory, optimization theory, game theory or other related fields.
