78 citations · 300 across the 55 of their papers we have counts for
6 papers · 1 filter
Unconditional bases and unconditional finite-dimensional decompositions in Banach spaces
Peter G. Casazza, Nigel J. Kalton
Let be a Banach space with an unconditional finite-dimensional Schauder decomposition . We consider the general problem of characterizing conditions under which one can…
The existence of primitives for continuous functions in a quasi-Banach space
Nigel J. Kalton
We show that if is a quasi-Banach space with trivial dual then every continuous function has a primitive, answering a question of M.M. Popov.
The basic sequence problem
Nigel J. Kalton
We construct a quasi-Banach space which contains no basic sequence.
Complex interpolation and complementably minimal spaces
Peter G. Casazza, Nigel J. Kalton, Denka Kutzarova +1
We construct a class of super-reflexive complementably minimal spaces, and study uniformly convex distortions of the norm on Hilbert space by using methods of complex interpolation…
An elementary example of a Banach space not isomorphic to its complex conjugate
Nigel J. Kalton
We give a simple and explicit example of a complex Banach space which is not isomorphic to its complex conjugate, and hence of two real-isomorphic spaces which are not complex-isom…
Complex interpolation of Hardy-type subspaces
Nigel J. Kalton
We consider the problem of complex interpolation of certain Hardy-type subspaces of Köthe function spaces. For example, suppose and are Köthe function spaces on the uni…