000			02067 a2200277 4500
008			241217b2018 |||||||| |||| 00| 0 eng d
020			_a9781107160514 (PB)
041			_aeng
080			_a517.98 _bLI
100			_aLi, Daniel
245			_aIntroduction to Banach Spaces _b: Analysis and Probability volume II
260			_bCambridge university press _aUnited kingdom _c2018
300			_axxx, 431p.
490			_aCambridge studies in advanced mathematics _v166
500			_aIncludes index
504			_aIncludes bibliography (p. 382-383) and references .
505			_a1. Fundamental notions of probability 2. Bases in Banach spaces 3. Unconditional convergence 4. Banach space valued random variables 5. Type and cotype of Banach spaces. Factorisation through a Hilbert space 6. p-summing operators. Applications 7. Some properties of Lp-spaces 8. The space l1
520			_a This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
650			_aBanach spaces
650			_aProbability _vmeasure
650			_aFunctional analysis
650			_aOperator theory
690			_aMathematics
700			_aQueffelec, Herve
942			_cBK
999			_c60637 _d60637