000 03087nam a22004455i 4500
001 978-0-387-28142-1
003 DE-He213
005 20161121231023.0
007 cr nn 008mamaa
008 100301s2006 xxu| s |||| 0|eng d
020 _a9780387281421
_9978-0-387-28142-1
024 7 _a10.1007/0-387-28142-8
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.7
_223
100 1 _aAlbiac, Fernando.
_eauthor.
245 1 0 _aTopics in Banach Space Theory
_h[electronic resource] /
_cby Fernando Albiac, Nigel J. Kalton.
264 1 _aNew York, NY :
_bSpringer New York,
_c2006.
300 _aXI, 376 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v233
505 0 _aBases and Basic Sequences -- The Classical Sequence Spaces -- Special Types of Bases -- Banach Spaces of Continuous Functions -- L1(?)-Spaces and C(K)-Spaces -- The Lp-Spaces for 1 ? p < ? -- Factorization Theory -- Absolutely Summing Operators -- Perfectly Homogeneous Bases and Their Applications -- ?p-Subspaces of Banach Spaces -- Finite Representability of ?p-Spaces -- An Introduction to Local Theory -- Important Examples of Banach Spaces.
520 _aAssuming only a basic knowledge of functional analysis, the book gives the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. The aim of this text is to provide the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. Fernando Albiac received his PhD in 2000 from Universidad Publica de Navarra, Spain. He is currently Visiting Assistant Professor of Mathematics at the University of Missouri, Columbia. Nigel Kalton is Professor of Mathematics at the University of Missouri, Columbia. He has written over 200 articles with more than 82 different co-authors, and most recently, was the recipient of the 2004 Banach medal of the Polish Academy of Sciences.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 1 4 _aMathematics.
650 2 4 _aFunctional Analysis.
700 1 _aKalton, Nigel J.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387281414
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v233
856 4 0 _uhttp://dx.doi.org/10.1007/0-387-28142-8
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c507404
_d507404