000 | 02861nam a22005055i 4500 | ||
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001 | 978-3-540-69192-1 | ||
003 | DE-He213 | ||
005 | 20190213151639.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1997 gw | s |||| 0|eng d | ||
020 |
_a9783540691921 _9978-3-540-69192-1 |
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024 | 7 |
_a10.1007/BFb0093548 _2doi |
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050 | 4 | _aQA319-329.9 | |
072 | 7 |
_aPBKF _2bicssc |
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072 | 7 |
_aMAT037000 _2bisacsh |
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072 | 7 |
_aPBKF _2thema |
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082 | 0 | 4 |
_a515.7 _223 |
100 | 1 |
_aVäth, Martin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aIdeal Spaces _h[electronic resource] / _cby Martin Väth. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1997. |
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300 |
_aVI, 150 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1664 |
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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 | _aFunctional analysis. | |
650 | 0 | _aMathematics. | |
650 | 0 | _aLogic, Symbolic and mathematical. | |
650 | 1 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171 |
650 | 2 | 4 |
_aMathematical Logic and Foundations. _0http://scigraph.springernature.com/things/product-market-codes/M24005 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662191323 |
776 | 0 | 8 |
_iPrinted edition: _z9783540631606 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1664 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0093548 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11397 _d11397 |