Geometry and martingales in Banach spaces / (Record no. 73657)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04936cam a2200565Ki 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429462153 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220531132532.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181018s2018 flu ob 001 0 eng d |
| 040 ## - Cataloging Source | |
| -- | OCoLC-P |
| -- | eng |
| -- | rda |
| -- | pn |
| -- | OCoLC-P |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429462153 |
| -- | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429462158 |
| -- | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429868825 |
| -- | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429868820 |
| -- | (electronic bk. : EPUB) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429868818 |
| -- | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429868812 |
| -- | (electronic bk. : Mobipocket) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781138616370 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780429868832 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0429868839 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1138616370 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1057341616 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC-P)1057341616 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA274.5 |
| Item number | .W69 2018eb |
| 072 #7 - | |
| -- | MAT |
| -- | 003000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | MAT |
| -- | 029000 |
| -- | bisacsh |
| 082 04 - | |
| -- | 519.2/36 |
| -- | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Woyczyński, W. A. |
| Fuller form of name | (Wojbor Andrzej), |
| Dates associated with a name | 1943- |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Geometry and martingales in Banach spaces / |
| Statement of responsibility, etc. | Wojbor A. Woyczynski (Case Western Reserve University). |
| 264 #1 - | |
| -- | Boca Raton, Florida : |
| -- | CRC Press, |
| -- | [2018] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 520 ## - | |
| -- | "This book provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales with values in those Banach spaces"-- |
| -- | Provided by publisher. |
| 505 0# - | |
| -- | Cover; Half title; Title; Copyrights; Contents; Introduction; Notation; 1 Preliminaries: Probability and geometry in Banach spaces; 1.1 Random vectors in Banach spaces; 1.2 Random series in Banach spaces; 1.3 Basic geometry of Banach spaces; 1.4 Spaces with invariant under spreading norms which are finitely representable in a given space; 1.5 Absolutely summing operators and factorization results; 2 Dentability, Radon-Nikodym Theorem, and Mar-tingale Convergence Theorem; 2.1 Dentability; 2.2 Dentability versus Radon-Nikodym property, and martingale convergence |
| 505 8# - | |
| -- | 2.3 Dentability and submartingales in Banach lattices and lattice bounded operators3 Uniform Convexity and Uniform Smoothness; 3.1 Basic concepts; 3.2 Martingales in uniformly smooth and uniformly convex spaces; 3.3 General concept of super-property; 3.4 Martingales in super-reflexive Banach spaces; 4 Spaces that do not contain c0; 4.1 Boundedness and convergence of random series; 4.2 Pre-Gaussian random vectors; 5 Cotypes of Banach spaces; 5.1 Infracotypes of Banach spaces; 5.2 Spaces of Rademacher cotype; 5.3 Local structure of spaces of cotype q; 5.4 Operators in spaces of cotype q |
| 505 8# - | |
| -- | 5.5 Random series and law of large numbers5.6 Central limit theorem, law of the iterated loga-rithm, and infinitely divisible distributions; 6 Spaces of Rademacher and stable types; 6.1 Infratypes of Banach spaces; 6.2 Banach spaces of Rademacher-type p; 6.3 Local structures of spaces of Rademacher-type p . .; 6.4 Operators on Banach spaces of Rademacher-type p; 6.5 Banach spaces of stable-type p and their local structures; 6.6 Operators on spaces of stable-type p; 6.7 Extented basic inequalities and series of random vectors in spaces of type p |
| 505 8# - | |
| -- | 6.8 Strong laws of large numbers and asymptotic be-havior of random sums in spaces of Rademacher-type p6.9 Weak and strong laws of large numbers in spaces of stable-type p; 6.10 Random integrals, convergence of infinitely divisi-ble measures and the central limit theorem; 7 Spaces of type 2; 7.1 Additional properties of spaces of type 2; 7.2 Gaussian random vectors; 7.3 Kolmogorov's inequality and three-series theorem .; 7.4 Central limit theorem; 7.5 Law of iterated logarithm; 7.6 Spaces of type 2 and cotype 2; 8 Beck convexity |
| 505 8# - | |
| -- | 8.1 General definitions and properties and their rela-tionship to types of Banach spaces8.2 Local structure of B-convex spaces and preservation of B-convexity under standard operations; 8.3 Banach lattices and reflexivity of B-convex spaces; 8.4 Classical weak and strong laws of large numbers in B-convex spaces; 8.5 Laws of large numbers for weighted sums and not necessarily independent summands; 8.6 Ergodic properties of B-convex spaces; 8.7 Trees in B-convex spaces; 9 Marcinkiewicz-Zygmund Theorem in Banach spaces; 9.1 Preliminaries |
| 588 ## - | |
| -- | OCLC-licensed vendor bibliographic record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Martingales (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometric analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Banach spaces. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Applied |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS / Probability & Statistics / General |
| Source of heading or term | bisacsh |
| 856 40 - | |
| -- | Taylor & Francis |
| -- | https://www.taylorfrancis.com/books/9780429462153 |
| 856 42 - | |
| -- | OCLC metadata license agreement |
| -- | http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf |
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