000			01515nam a22002177a 4500
008			210319b1991 ||||| |||| 00| 0 eng d
020			_a9783642202117
082			_a519.2 LED-M
100			_aLedoux, Michel
245			_aProbability in Banach spaces : _bisoperimetry and processes / _cMichel Ledoux and Michel Talagrand
260			_aBerlin _bSpringer _c1991
300			_a480 p.
365			_aEU _b54.99.
500			_aIsoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.
650			_aProbabilities
650			_aBanach spaces
650			_aMathematical optimization
650			_aMathematics
650			_aDistribution (Probability theory)
700			_aTalagrand, Michel
999			_c66279 _d66279