[PDF.36xo] Factorization of Linear Operators and Geometry of Banach Spaces (Cbms Regional Conference Series in Mathematics)

Factorization of Linear Operators and Geometry of Banach Spaces (Cbms Regional Conference Series in Mathematics)

[PDF.cn68] Factorization of Linear Operators and Geometry of Banach Spaces (Cbms Regional Conference Series in Mathematics)

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 | #4461510 in Books |  American Mathematical Society |  1986-12-31 | Original language:English | PDF # 1 |  10.25 x7.25 x.25l,.53 | File type: PDF | 154 pages

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This book surveys the considerable progress made in Banach space theory as a result of Grothendieck's fundamental paper Resume de la theorie metrique des produits tensoriels topologiques. The author examines the central question of which Banach spaces $X$ and $Y$ have the property that every bounded operator from $X$ to $Y$ factors through a Hilbert space, in particular when the operators are defined on a Banach lattice, a $C^*$-algebra or the disc algebra and $H^\infty$...

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