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Produktbild: Bases in Banach Spaces I
Band 154

Bases in Banach Spaces I

Aus der Reihe Grundlehren der mathematischen Wissenschaften

49,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

14.05.2012

Abbildungen

VIII, 668 p.

Verlag

Springer Berlin

Seitenzahl

668

Maße (L/B/H)

22,9/15,2/3,7 cm

Gewicht

974 g

Auflage

Softcover reprint of the original 1st ed. 1970

Sprache

Englisch

ISBN

978-3-642-51635-1

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

14.05.2012

Abbildungen

VIII, 668 p.

Verlag

Springer Berlin

Seitenzahl

668

Maße (L/B/H)

22,9/15,2/3,7 cm

Gewicht

974 g

Auflage

Softcover reprint of the original 1st ed. 1970

Sprache

Englisch

ISBN

978-3-642-51635-1

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

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  • Produktbild: Bases in Banach Spaces I
  • I. The Basis Problem. Some Properties of Bases in Banach Spaces.- § 1. Definition of a basis in a Banach space. The basis problem. Relations between bases in complex and real Banach spaces.- §2. Some examples of bases in concrete Banach spaces. Some separable Banach spaces in which no basis is known.- § 3. The coefficient functional associated to a basis. Bounded bases. Normalized bases.- §4. Biorthogonal systems. The partial sum operators. Some characterizations of regular biorthogonal systems. Applications.- § 5. Some characterizations of regular E-complete biorthogonal systems. Multipliers.- § 6. Some types of linear independence of sequences.- § 7. Intrinsic characterizations of bases. The norm and the index of a sequence. The index of a Banach space. Extension of block basic sequences.- § 8. Domination and equivalence of sequences. Equivalent, affinely equivalent and permutatively equivalent bases.- § 9. Stability theorems of Paley-Wiener type.- § 10. Other stability theorems.- §11. An application to the basis problem.- § 12. Properties of strong duality. Application : bases and sequence spaces.- § 13. Bases in topological linear spaces. Weak bases and bounded weak bases in Banach spaces. Weak* bases and bounded weak* bases in conjugate Banach spaces.- § 14. Schauder bases in topological linear spaces. Properties of weak duality for bases in Banach spaces.- § 15. (e)-Schauder bases and (b)-Schauder bases in topological linear spaces.- § 16. Some remarks on bases in normed linear spaces.- §17. Continuous linear operators in Banach spaces with bases.- §18. Bases of tensor products.- § 19. Best approximation in Banach spaces with bases.- § 20. Polynomial bases. Strict polynomial bases. ? systems and ? systems.- Notes and remarks.- II. SpecialClasses of Bases in Banach Spaces.- I. Classes of Bases not Involving Unconditional Convergence.- II. Unconditional Bases and Some Classes of Unconditional Bases.- Notation Index.- Author Index.