Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces. (Record no. 69573)
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| fixed length control field | 03602nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114042 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124558.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2009 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470405366 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821843185 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114042 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114042 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039661 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981559 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA322.4 -- .L54 2009eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.733 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Liebscher, Volkma. |
| 245 10 - TITLE STATEMENT | |
| Title | Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2009. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (124 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.199 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- 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 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic 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 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hilbert space. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Random sets. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Invariants. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Calculus of tensors. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Liebscher, Volkma |
| Title | Random Sets and Invariants for (Type II) Continuous Tensor Product Systems of Hilbert Spaces |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2009 |
| International Standard Book Number | 9780821843185 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114042">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114042</a> |
| Public note | Click to View |
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