Three-space Problems in Banach Space Theory

This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space...

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Hlavní autoři: Castillo, Jésus M. F., 19..-, González, Manuel, 1957- (Autor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 1667
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Edition sous un autre format:• Three-space problems in Banach space theory, Jesús M. F. Castillo, Manuel González, 1997, Berlin, Springer, 1 volume (XII-267 pages), Lecture notes in mathematics, 3-540-63344-8
• Three-space Problems in Banach Space Theory, Texte imprimé, 9783662191088
Obsah:
  • Foreword
  • Contents
  • Three-space constructions: Appendix. L-summands, Appendix. Harte's problem and Taylor's spectrum
  • Methods to obtain three-space ideals: Appendix. Applications to three-space results to the opening
  • Classical Banach space: Appendix. Banach spaces not isomorphic to their square, Appendix. Being a dual space
  • Topological properties of Banach spaces: Appendix. Polynomial properties
  • Geometrical properties
  • Homological properties
  • Approximation properties
  • Resume
  • Bibliography
  • Subject Index.