Author: Larry NivenPublisher: Del Rey
ISBN: 9780345314109
Category :
Languages : en
Pages : 227
Book Description
Convergent Series
Author: Larry NivenPublisher: Del Rey
ISBN: 9780345314109
Category :
Languages : en
Pages : 227
Book Description
Multiplier Convergent Series
Author: Charles SwartzPublisher: World Scientific
ISBN: 9812833889
Category : Mathematics
Languages : en
Pages : 264
Book Description
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.
Convergent Series
Author: Charles SheffieldPublisher: Baen
ISBN: 9780671877910
Category : Fiction
Languages : en
Pages : 580
Book Description
Convergent Series
Irrational Numbers and Their Representation by Sequences and Series
Author: Henry Parker ManningPublisher:
ISBN:
Category : Irrational numbers
Languages : en
Pages : 164
Book Description
A College Algebra
Author: Henry Burchard FinePublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 616
Book Description
Engineering Mathematics-I (For Wbut)
Author: Ram BabuPublisher: Pearson Education India
ISBN: 9788131734612
Category :
Languages : en
Pages : 516
Book Description
Introduction to the Theory of Fourier's Series and Integrals
Author: Horatio Scott CarslawPublisher:
ISBN:
Category : Definite integrals
Languages : en
Pages : 354
Book Description
Theory and Application of Infinite Series
Author: Konrad KnoppPublisher:
ISBN:
Category : Series, Infinite
Languages : en
Pages : 596
Book Description
Trans from the 2nd German ed , pub 1923.
Proceedings of the London Mathematical Society
Author: London Mathematical SocietyPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 530
Book Description
"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.
Summable Series and Convergence Factors
Author: Charles Napoleon MoorePublisher: American Mathematical Soc.
ISBN: 0821846205
Category : Mathematics
Languages : en
Pages : 114
Book Description
Fairly early in the development of the theory of summability of divergent series, the concept of convergence factors was recognized as of fundamental importance in the subject. One of the pioneers in this field was C. N. Moore, the author of the book under review.... Moore classifies convergence factors into two types. In type I he places the factors which have only the property that they preserve convergence for a convergent series or produce convergence for a summable series. In type II he places the factors which not only maintain or produce convergence but have the additional property that they may be used to obtain the sum or generalized sum of the series. This book gives a generalized systematic treatment of the theory of convergence factors of both types, for simply infinite series and for multiple series, convergent and summable.... --Bulletin of the American Mathematical Society