000 02871nam a22004935i 4500
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
024 7 _a10.1007/BFb0098424
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aJajte, Ryszard.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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.
300 _aX, 113 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 ;
_v1477
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