000 | 02785nam a22005175i 4500 | ||
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001 | 978-3-540-49495-9 | ||
003 | DE-He213 | ||
005 | 20190213151102.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1998 gw | s |||| 0|eng d | ||
020 |
_a9783540494959 _9978-3-540-49495-9 |
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024 | 7 |
_a10.1007/BFb0093329 _2doi |
|
050 | 4 | _aQA150-272 | |
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_aPBF _2bicssc |
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_aMAT002000 _2bisacsh |
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072 | 7 |
_aPBF _2thema |
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_a512 _223 |
100 | 1 |
_aInoue, Atsushi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aTomita-Takesaki Theory in Algebras of Unbounded Operators _h[electronic resource] / _cby Atsushi Inoue. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1998. |
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300 |
_aVIII, 244 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 ; _v1699 |
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505 | 0 | _aFundamentals of O*-algebras -- Standard systems and modular systems -- Standard weights on O*-algebras -- Physical applications. | |
520 | _aThese notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mechanics and the Wightman quantum field theory. This will be of interest to graduate students and researchers in the field of (unbounded) operator algebras and mathematical physics. | ||
650 | 0 | _aAlgebra. | |
650 | 0 | _aOperator theory. | |
650 | 0 | _aQuantum theory. | |
650 | 1 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
650 | 2 | 4 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
650 | 2 | 4 |
_aQuantum Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19080 |
650 | 2 | 4 |
_aQuantum Information Technology, Spintronics. _0http://scigraph.springernature.com/things/product-market-codes/P31070 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662210192 |
776 | 0 | 8 |
_iPrinted edition: _z9783540651949 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1699 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0093329 |
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912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
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