000 | 04936cam a2200565Ki 4500 | ||
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001 | 9780429462153 | ||
003 | FlBoTFG | ||
005 | 20220531132532.0 | ||
006 | m o d | ||
007 | cr cnu---unuuu | ||
008 | 181018s2018 flu ob 001 0 eng d | ||
040 |
_aOCoLC-P _beng _erda _epn _cOCoLC-P |
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020 |
_a9780429462153 _q(electronic bk.) |
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020 |
_a0429462158 _q(electronic bk.) |
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020 |
_a9780429868825 _q(electronic bk. : EPUB) |
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020 |
_a0429868820 _q(electronic bk. : EPUB) |
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020 |
_a9780429868818 _q(electronic bk. : Mobipocket) |
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020 |
_a0429868812 _q(electronic bk. : Mobipocket) |
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020 | _z9781138616370 | ||
020 | _a9780429868832 | ||
020 | _a0429868839 | ||
020 | _z1138616370 | ||
035 | _a(OCoLC)1057341616 | ||
035 | _a(OCoLC-P)1057341616 | ||
050 | 4 |
_aQA274.5 _b.W69 2018eb |
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072 | 7 |
_aMAT _x003000 _2bisacsh |
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072 | 7 |
_aMAT _x029000 _2bisacsh |
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082 | 0 | 4 |
_a519.2/36 _223 |
100 | 1 |
_aWoyczyński, W. A. _q(Wojbor Andrzej), _d1943- _eauthor. |
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245 | 1 | 0 |
_aGeometry and martingales in Banach spaces / _cWojbor A. Woyczynski (Case Western Reserve University). |
264 | 1 |
_aBoca Raton, Florida : _bCRC Press, _c[2018] |
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300 | _a1 online resource. | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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520 |
_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"-- _cProvided by publisher. |
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505 | 0 | _aCover; 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 | _a2.3 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 | _a5.5 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 | _a6.8 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 | _a8.1 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 | _aOCLC-licensed vendor bibliographic record. | ||
650 | 0 | _aMartingales (Mathematics) | |
650 | 0 | _aGeometric analysis. | |
650 | 0 | _aBanach spaces. | |
650 | 7 |
_aMATHEMATICS / Applied _2bisacsh |
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650 | 7 |
_aMATHEMATICS / Probability & Statistics / General _2bisacsh |
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856 | 4 | 0 |
_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9780429462153 |
856 | 4 | 2 |
_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf |
999 |
_c73657 _d73657 |