78 citations · 300 across the 55 of their papers we have counts for
54 papers · 1 filter
Euclidean structures and operator theory in Banach spaces
Nigel J. Kalton, Emiel Lorist, Lutz Weis
We present a general method to extend results on Hilbert space operators to the Banach space setting by representing certain sets of Banach space operators on a Hilbert space.…
The -Functional Calculus and Square Function Estimates
Nigel Kalton, Lutz Weis
Using notions from the geometry of Banach spaces we introduce square functions for functions with values in an arbitrary Banach space . We show that they have very conv…
Complex interpolation and twisted twisted Hilbert spaces
Félix Cabello Sánchez, Jesús M. F. Castillo, Nigel J. Kalton
We show that Rochberg's generalizared interpolation spaces arising from analytic families of Banach spaces form exact sequences $0\to \mathscr Z^{(n)} \to \maths…
Traces of compact operators and the noncommutative residue
Nigel Kalton, Steven Lord, Denis Potapov +1
We extend the noncommutative residue of M. Wodzicki on compactly supported classical pseudo-differential operators of order and generalise A. Connes' trace theorem, which stat…
Positive Definite Distributions and Normed Spaces
Nigel J. Kalton, Marisa Zymonopoulou
We answer a question of Alex Koldobsky on isometric embeddings of finite dimensional normed spaces.
A new metric invariant for Banach spaces
F. Baudier, N. J. Kalton, G. Lancien
We show that if the Szlenk index of a Banach space is larger than the first infinite ordinal or if the Szlenk index of its dual is larger than , then the tree of all fin…