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- catalog abstract "This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between section and block norms and will thus be useful to researchers as a reference text. The book requires no knowledge beyond an introductory course in functional analysis.".
- catalog contributor b10709230.
- catalog created "1998.".
- catalog date "1998".
- catalog date "1998.".
- catalog dateCopyrighted "1998.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- The Blocking Technique -- The Sequence Spaces c(a,p,q) and d(a,p,q) -- Applications to matrix operators and inequalities -- Integral analogues -- Appendix. Equivalence of section conditions with block conditions -- References -- Index.".
- catalog description "This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between section and block norms and will thus be useful to researchers as a reference text. The book requires no knowledge beyond an introductory course in functional analysis.".
- catalog extent "viii, 114 p. ;".
- catalog identifier "3540639020 (pbk. : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1679.".
- catalog isPartOf "Lectures notes in mathematics ; 1679".
- catalog issued "1998".
- catalog issued "1998.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.732 21".
- catalog subject "Inequalities (Mathematics)".
- catalog subject "Mathematics.".
- catalog subject "Normed linear spaces.".
- catalog subject "Operator theory.".
- catalog subject "QA3 .L28 no. 1679 QA322.2".
- catalog subject "Summability theory.".
- catalog tableOfContents "Introduction -- The Blocking Technique -- The Sequence Spaces c(a,p,q) and d(a,p,q) -- Applications to matrix operators and inequalities -- Integral analogues -- Appendix. Equivalence of section conditions with block conditions -- References -- Index.".
- catalog title "The blocking technique : weighted mean operators and Hardy's inequality / Karl-Goswin Grosse-Erdmann.".
- catalog type "text".