000 | 02871nam a22004935i 4500 | ||
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001 | 978-3-540-47512-5 | ||
003 | DE-He213 | ||
005 | 20190213151416.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540475125 _9978-3-540-47512-5 |
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024 | 7 |
_a10.1007/BFb0098424 _2doi |
|
050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aJajte, Ryszard. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aStrong Limit Theorems in Noncommutative L2-Spaces _h[electronic resource] / _cby Ryszard Jajte. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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300 |
_aX, 113 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 ; _v1477 |
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505 | 0 | _aAlmost sure convergence in noncommutative L2-spaces -- Individual ergodic theorems in L2 over a von neumann algebra -- Asymptotic formulae -- Convergence of iterates of contractions -- Convergence of orthogonal series and strong laws of large numbers -- Convergence of conditional expectations and martingales -- Miscellaneous results. | |
520 | _aThe noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc. The proofs introduce new techniques in von Neumann algebras. The reader is assumed to master the fundamentals of functional analysis and probability. The book is written mainly for mathematicians and physicists familiar with probability theory and interested in applications of operator algebras to quantum statistical mechanics. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aDistribution (Probability theory. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662192498 |
776 | 0 | 8 |
_iPrinted edition: _z9783540542148 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1477 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0098424 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10571 _d10571 |