000			03602nam a22004813i 4500
001			EBC3114042
003			MiAaPQ
005			20240729124558.0
006			m o d |
007			cr cnu||||||||
008			240724s2009 xx o ||||0 eng d
020			_a9781470405366 _q(electronic bk.)
020			_z9780821843185
035			_a(MiAaPQ)EBC3114042
035			_a(Au-PeEL)EBL3114042
035			_a(CaPaEBR)ebr11039661
035			_a(OCoLC)922981559
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA322.4 -- .L54 2009eb
082	0		_a515/.733
100	1		_aLiebscher, Volkma.
245	1	0	_aRandom Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2009.
264		4	_c©2009.
300			_a1 online resource (124 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.199
505	0		_aIntro -- Contents -- Chapter 1. Introduction -- Chapter 2. Basics -- Chapter 3. From Product Systems to Random Sets -- 3.1. Product Systems -- 3.2. Random Sets in Product Systems -- 3.3. Measure Types as Invariants -- 3.4. Measure Types Related to Units -- 3.5. Tensor Products (I) -- Chapter 4. From Random Sets to Product Systems -- 4.1. General Theory -- 4.2. Example 1: Finite Random Sets -- 4.3. Example 2: Countable Random Sets -- 4.4. Example 3: Random Cantor Sets -- 4.5. Tensor Products (II) -- 4.6. The map e [omitted] M[sup(e,u)] is surjective -- Chapter 5. An Hierarchy of Random Sets -- 5.1. Factorising Projections and Product Subsystems -- 5.2. Subsystems of e[sup(M)] -- 5.3. The Lattice of Stationary Factorising Measure Types -- Chapter 6. Direct Integral Representations -- 6.1. Random Sets and Direct Integrals -- 6.2. Direct Integrals in Product Systems -- 6.3. Characterisations of Type I Product Systems -- 6.4. Unitalising Type III Product Systems -- Chapter 7. Measurability in Product Systems: An Algebraic Approach -- 7.1. GNS-representations -- 7.2. Algebraic Product Systems and Intrinsic Measurable Structures -- 7.3. Product Systems of W*-Algebras -- 7.4. Product systems and Unitary Evolutions -- 7.5. Additional Results on Measurability -- Chapter 8. Construction of Product Systems from General Measure Types -- 8.1. General Results -- 8.2. Product Systems from Random Sets -- 8.3. Product Systems from Random Measures -- 8.4. Product Systems from Random Increment Processes -- Chapter 9. Beyond Separability: Random Bisets -- Chapter 10. An Algebraic Invariant of Product Systems -- Chapter 11. Conclusions and Outlook -- Bibliography.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aHilbert space.
650		0	_aRandom sets.
650		0	_aInvariants.
650		0	_aCalculus of tensors.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aLiebscher, Volkma _tRandom Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces _dProvidence : American Mathematical Society,c2009 _z9780821843185
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114042 _zClick to View
999			_c69573 _d69573