[PDF.51oy] Complex Interpolation Between Hilbert, Banach and Operator Spaces (Memoirs of the American Mathematical Society)

Complex Interpolation Between Hilbert, Banach and Operator Spaces (Memoirs of the American Mathematical Society)

[PDF.jd03] Complex Interpolation Between Hilbert, Banach and Operator Spaces (Memoirs of the American Mathematical Society)

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 | #11244007 in Books |  2010-10-23 | Original language:English |  9.75 x6.75 x.25l,.30 | File type: PDF | 78 pages

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Motivated by a question of Vincent Lafforgue, the author studies the Banach spaces X satisfying the following property: there is a function \varepsilon\to \Delta_X(\varepsilon) tending to zero with \varepsilon>0 such that every operator T\colon \ L_2\to L_2 with \|T\|\le \varepsilon that is simultaneously contractive (i.e., of norm \le 1) on L_1 and on L_\infty must be of norm \le \Delta_X(\varepsilon) on L_2(X). The author shows that \Delta_X(\varepsilon) \in O(\varepsi...

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