000 03036nam a22004695i 4500
001 978-3-540-46069-5
003 DE-He213
005 20160624101822.0
007 cr nn 008mamaa
008 121227s1989 gw | s |||| 0|eng d
020 _a9783540460695
_9978-3-540-46069-5
024 7 _a10.1007/BFb0085267
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aCasazza, Peter G.
_eauthor.
245 1 0 _aTsirelson's Space
_h[electronic resource] :
_bWith an Appendix by J. Baker, O. Slotterbeck and R. Aron /
_cby Peter G. Casazza, Thaddeus J. Shura.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1989.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1989.
300 _aX, 206 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1363
505 0 _aPrecursors of the Tsirelson construction -- The Figiel-Johnson construction of Tsirelson's space -- Block basic sequences in Tsirelson's space -- Bounded linear operators on T and the “blocking” principle -- Subsequences of the unit vector basis of Tsirelson's space -- Modified Tsirelson's Space: TM -- Embedding Theorems about T and T -- Isomorphisms between subspaces of Tsirelson's space which are spanned by subsequences of -- Permutations of the unit vector basis of Tsirelson's space -- Unconditional bases for complemented subspaces of Tsirelson's space -- Variations on a Theme -- Some final comments.
520 _aThis monograph provides a structure theory for the increasingly important Banach space discovered by B.S. Tsirelson. The basic construction should be accessible to graduate students of functional analysis with a knowledge of the theory of Schauder bases, while topics of a more advanced nature are presented for the specialist. Bounded linear operators are studied through the use of finite-dimensional decompositions, and complemented subspaces are studied at length. A myriad of variant constructions are presented and explored, while open questions are broached in almost every chapter. Two appendices are attached: one dealing with a computer program which computes norms of finitely-supported vectors, while the other surveys recent work on weak Hilbert spaces (where a Tsirelson-type space provides an example).
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
700 1 _aShura, Thaddeus J.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540506782
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1363
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0085267
942 _2EBK1380
_cEBK
999 _c30674
_d30674