000 02540nam a22004815i 4500
001 978-3-540-69192-1
003 DE-He213
005 20160624101833.0
007 cr nn 008mamaa
008 121227s1997 gw | s |||| 0|eng d
020 _a9783540691921
_9978-3-540-69192-1
024 7 _a10.1007/BFb0093548
_2doi
050 4 _aQA331.5
072 7 _aPBKB
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.8
_223
100 1 _aVäth, Martin.
_eauthor.
245 1 0 _aIdeal Spaces
_h[electronic resource] /
_cby Martin Väth.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
300 _aVI, 150 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 ;
_v1664
505 0 _aIntroduction -- Basic definitions and properties -- Ideal spaces with additional properties -- Ideal spaces on product measures and calculus -- Operators and applications -- Appendix: Some measurability results -- Sup-measurable operator functions -- Majorising principles for measurable operator functions -- A generalization of a theorem of Luxemburg-Gribanov -- References -- Index.
520 _aIdeal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. The book is a rather complete and self-contained introduction into the general theory of ideal spaces. Some emphasis is put on spaces of vector-valued functions and on the constructive viewpoint of the theory (without the axiom of choice). The reader should have basic knowledge in functional analysis and measure theory.
650 0 _aMathematics.
650 0 _aLogic, Symbolic and mathematical.
650 1 4 _aMathematics.
650 2 4 _aReal Functions.
650 2 4 _aMathematical Logic and Foundations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540631606
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1664
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0093548
942 _2EBK1800
_cEBK
999 _c31094
_d31094