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Multiplier Convergent Series
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Book Synopsis Multiplier Convergent Series by : Charles Swartz
Download or read book Multiplier Convergent Series written by Charles Swartz and published by World Scientific. This book was released on 2009 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: If ? is a space of scalar-valued sequences, then a series ?j xj in a topological vector space X is ?-multiplier convergent if the series ?j=18 tjxj converges in X for every {tj} e?. This monograph studies properties of such series and gives applications to topics in locally convex spaces and vector-valued measures. A number of versions of the OrliczOCoPettis theorem are derived for multiplier convergent series with respect to various locally convex topologies. Variants of the classical HahnOCoSchur theorem on the equivalence of weak and norm convergent series in ?1 are also developed for multiplier convergent series. Finally, the notion of multiplier convergent series is extended to operator-valued series and vector-valued multipliers.
Book Synopsis Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis by : Charles W Swartz
Download or read book Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis written by Charles W Swartz and published by World Scientific. This book was released on 1996-08-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.
Book Synopsis Matrix Methods in Analysis by : Piotr Antosik
Download or read book Matrix Methods in Analysis written by Piotr Antosik and published by Springer. This book was released on 2006-11-14 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Multiplication of Semi-convergent Series by : Florian Cajori
Download or read book On the Multiplication of Semi-convergent Series written by Florian Cajori and published by . This book was released on 1893 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boletín de la Sociedad Matemática Mexicana by : Sociedad Matemática Mexicana
Download or read book Boletín de la Sociedad Matemática Mexicana written by Sociedad Matemática Mexicana and published by . This book was released on 2002 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convergence Theorems for Lattice Group-Valued Measures by : Antonio Boccuto
Download or read book Convergence Theorems for Lattice Group-Valued Measures written by Antonio Boccuto and published by Bentham Science Publishers. This book was released on 2015-04-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The book begins with a historical survey about these topics since the beginning of the last century, moving on to basic notions and preliminaries on filters/ideals, lattice groups, measures and tools which are featured in the rest of this text. Readers will also find a survey on recent classical results about limit, boundedness and extension theorems for lattice group-valued measures followed by information about recent developments on these kinds of theorems and several results in the setting of filter/ideal convergence. In addition, each chapter has a general description of the topics and an appendix on random variables, concepts and lattices is also provided. Thus readers will benefit from this book through an easy-to-read historical survey about all the problems on convergence and boundedness theorems, and the techniques and tools which are used to prove the main results. The book serves as a primer for undergraduate, postgraduate and Ph. D. students on mathematical lattice and topological groups and filters, and a treatise for expert researchers who aim to extend their knowledge base.
Book Synopsis Journal of analysis and its applications by :
Download or read book Journal of analysis and its applications written by and published by . This book was released on 1982 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Multiplication of Conditionally Convergent Series by : G.H. Hardy
Download or read book The Multiplication of Conditionally Convergent Series written by G.H. Hardy and published by . This book was released on 1908 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Functions and Convergence by : Piotr Antosik
Download or read book Generalized Functions and Convergence written by Piotr Antosik and published by World Scientific Publishing Company. This book was released on 1990 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.
Book Synopsis Treatise on Trigonometry by : William Ernest Johnson
Download or read book Treatise on Trigonometry written by William Ernest Johnson and published by . This book was released on 1889 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical and Physical Papers by : George Gabriel Stokes
Download or read book Mathematical and Physical Papers written by George Gabriel Stokes and published by . This book was released on 1905 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Note on the Determination of Arbitrary Constants which Appear as Multipliers of Semi-convergent Series by : George Gabriel Stokes
Download or read book Note on the Determination of Arbitrary Constants which Appear as Multipliers of Semi-convergent Series written by George Gabriel Stokes and published by . This book was released on 1889 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Studia Scientiarum Mathematicarum Hungarica by :
Download or read book Studia Scientiarum Mathematicarum Hungarica written by and published by . This book was released on 1999 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Metric Linear Spaces by : Stefan Rolewicz
Download or read book Metric Linear Spaces written by Stefan Rolewicz and published by . This book was released on 1972 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Acta Scientiarum Mathematicarum by : József Attila Tudományegyetem
Download or read book Acta Scientiarum Mathematicarum written by József Attila Tudományegyetem and published by . This book was released on 1993 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book 东北数学 written by and published by . This book was released on 1995 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
