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Sequence spaces

By: Material type: TextTextLanguage: English Series: Research notes in mathematics ; 49Publication details: Boston Pitman Advanced Publishing Program 1981Description: 198pISBN:
  • 0273085077 (PB)
Subject(s):
Contents:
1 Introduction, basic properties 2 Kothe sequence spaces 3 Topologies on sequence spaces 4 Mappings between sequence spaces 5 Topics from summability theory
Summary: This Research Note presents a collection of topics on sequence spaces and infinite matrices. It contains discussions of Köthe sequence spaces, topologies on sequence spaces, matrix mappings between sequence spaces and topics from summability theory. The development is original and includes new proofs of Pitt's theorem and the bounded consistency theorem, and previously unpublished results on matrix mappings between Köthe spaces having their normal topologies.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 517.9 RUC (Browse shelf(Opens below)) Available 20947

Includes bibliography (p. 195-198) and references

1 Introduction, basic properties
2 Kothe sequence spaces
3 Topologies on sequence spaces
4 Mappings between sequence spaces
5 Topics from summability theory

This Research Note presents a collection of topics on sequence spaces and infinite matrices. It contains discussions of Köthe sequence spaces, topologies on sequence spaces, matrix mappings between sequence spaces and topics from summability theory. The development is original and includes new proofs of Pitt's theorem and the bounded consistency theorem, and previously unpublished results on matrix mappings between Köthe spaces having their normal topologies.

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The Institute of Mathematical Sciences, Chennai, India