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| 001 |
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| 006 |
m o d |
| 007 |
cr cnu---unuuu |
| 008 |
181018s2018 flu ob 001 0 eng d |
| 005 |
20220613175709.5 |
| 035 |
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|a (FlBoTFG)9780429462153
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| 040 |
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|a OCoLC-P
|b eng
|e rda
|e pn
|c OCoLC-P
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| 020 |
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|a 9780429462153
|q (electronic bk.)
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|a 0429462158
|q (electronic bk.)
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|a 9780429868825
|q (electronic bk. : EPUB)
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|a 0429868820
|q (electronic bk. : EPUB)
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|a 9780429868818
|q (electronic bk. : Mobipocket)
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|a 0429868812
|q (electronic bk. : Mobipocket)
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|z 9781138616370
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|a 9780429868832
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| 020 |
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|a 0429868839
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| 020 |
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|z 1138616370
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| 035 |
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|a (OCoLC)1057341616
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| 035 |
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|a (OCoLC-P)1057341616
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| 050 |
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4 |
|a QA274.5
|b .W69 2018eb
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| 072 |
|
7 |
|a MAT
|x 003000
|2 bisacsh
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| 072 |
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|a MAT
|x 029000
|2 bisacsh
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| 082 |
0 |
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|a 519.2/36
|2 23
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| 100 |
1 |
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|a Woyczyński, W. A.
|q (Wojbor Andrzej),
|d 1943-
|e author.
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| 245 |
1 |
0 |
|a Geometry and martingales in Banach spaces /
|c Wojbor A. Woyczynski (Case Western Reserve University).
|
| 264 |
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1 |
|a Boca Raton, Florida :
|b CRC Press,
|c [2018]
|
| 300 |
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|a 1 online resource.
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| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 520 |
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|a "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"--
|c Provided by publisher.
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| 505 |
0 |
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|a 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 |
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|a 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 |
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|a 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 |
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|a 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 |
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|a 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 |
|
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|a OCLC-licensed vendor bibliographic record.
|
| 650 |
|
0 |
|a Martingales (Mathematics)
|
| 650 |
|
0 |
|a Geometric analysis.
|
| 650 |
|
0 |
|a Banach spaces.
|
| 650 |
|
7 |
|a MATHEMATICS / Applied
|2 bisacsh
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| 650 |
|
7 |
|a MATHEMATICS / Probability & Statistics / General
|2 bisacsh
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| 655 |
|
7 |
|a Electronic books.
|2 local
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| 710 |
1 |
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|a Taylor & Francis.
|
| 730 |
0 |
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|a MATHnetBASE.
|
| 856 |
4 |
0 |
|u http://proxy.library.tamu.edu/login?url=https://www.taylorfrancis.com/books/9780429462153
|z Connect to the full text of this electronic book
|t 0
|
| 999 |
f |
f |
|s 1102b44b-bed4-4691-96bd-051f77a73e22
|i 1102b44b-bed4-4691-96bd-051f77a73e22
|t 0
|
| 952 |
f |
f |
|a Texas A&M University
|b College Station
|c Electronic Resources
|d Available Online
|t 0
|e QA274.5 .W69 2018eb
|h Library of Congress classification
|
| 998 |
f |
f |
|a QA274.5 .W69 2018eb
|t 0
|l Available Online
|