5 citations · 12 across the 6 of their papers we have counts for
6 papers · 1 filter
Interpolation of compact Lipschitz operators
Michael Cwikel, Alon Ivtsan, Eitan Tadmor
Let (A_0,A_1) and (B_0,B_1) be Banach couples such that A_0 is contained in A_1 and (B_0,B_1) satisfies Arne Persson's approximation condition (H). Let T:A_1 --> B_1 be a possibly…
Counterexamples for interpolation of compact Lipschitz operators
Michael Cwikel, Alon Ivtsan
Let (A_0,A_1) and (B_0,B_1) be Banach couples with A_0 contained in A_1 and B_0 contained in B_1. Let T:A_1 --> B_1 be a possibly nonlinear operator which is a compact Lipschitz ma…
Estimates for covering numbers in Schauder's theorem about adjoints of compact operators
Michael Cwikel, Eliahu Levy
Let T:X --> Y be a bounded linear map between Banach spaces X and Y. Let S:Y' --> X' be its adjoint. Let B(X) and B(Y') be the closed unit balls of X and Y' respectively. We obtain…
Complex interpolation of compact operators mapping into lattice couples
Michael Cwikel
Suppose that (A_0,A_1) and (B_0,B_1) are Banach couples, and that T is a linear operator which maps A_0 compactly into B_0 and A_1 boundedly (or even compactly) into B_1. Does this…
Complex interpolation of compact operators mapping into the couple (FL^{\infty},FL_{1}^{\infty})
Michael Cwikel, Svante Janson
If (A_0,A_1) and (B_0,B_1) are Banach couples and a linear operator T from A_0 + A_1 to B_0 + B_1 maps A_0 compactly into B_0 and maps A_1 boundedly into B_1, does T necessarily al…
K-divisibility constants for some special couples
Yacin Ameur, Michael Cwikel
We prove new estimates of the -divisibility constants for some special Banach couples. In particular, we prove that the -divisibility constant for a couple of the form $(U\op…