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200 10$aRandom sets and invariants for (type II) continuous tensor product systems of Hilbert spaces /$fVolkmar Liebscher
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009.
210  4$dİ2009
215   $a1 online resource (124 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 199, Number 930
300   $a"Volume 199, Number 930 (first of 6 numbers)."
311   $a0-8218-4318-4 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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""
327   $a""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""
327   $a""Chapter 11. Conclusions and Outlook""""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 199, Number 930.
606   $aHilbert space
606   $aRandom sets
606   $aInvariants
606   $aCalculus of tensors
608   $aElectronic books.
615  0$aHilbert space.
615  0$aRandom sets.
615  0$aInvariants.
615  0$aCalculus of tensors.
676   $a515/.733
700   $aLiebscher$b Volkmar$f1965-$0904405
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480394503321
996   $aRandom sets and invariants for (type II) continuous tensor product systems of Hilbert spaces$92022182
997   $aUNINA