Extension of linear operators and Lipschitz maps into -spaces.
Rademacher series and decoupling.
Convergence of the dual greedy algorithm in Banach spaces.
Spaces of Compact Operators.
On Absolute Bases.
Sequences or random variables in Lp for p<1.
Perturbations of the H-calculus
Suppose A is a sectorial operator on a Banach space X, which admits an H-calculus. We study conditions on a multiplicative perturbation B of A which ensure that B also has an H-calculus. We identify a class of bounded operators T : X→X, which we call strongly triangular, such that if B = (1 + T) A is sectorial then it also has an H-calculus. In the case X is a Hilbert space an operator is strongly triangular if and only if ∑ S(T)/n <∞ where (S(T))∞ are the singular values of T.
On subspaces of L1 which embed into ...1.
Pelczynski's Property (V) on C (.., E) Spaces.
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