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15 papers
Sums of commutators in ideals and modules of type II factors
K. J. Dykema, N. J. Kalton
Let M be a factor of type II_\infty or II_1 having separable predual and let M-bar be the algebra of affiliated τ-measureable operators. We characterize the commutator space [I,J]…
Quotients of finite-dimensional quasi-normed spaces
N. J. Kalton, A. E. Litvak
We study the existence of cubic quotients of finite-dimensional quasi-normed spaces, that is, quotients well isomorphic to for some We give two results of th…
The range of operators on von Neumann algebras
T. Bermudez, N. J. Kalton
We prove that for every bounded linear operator , where is a non-reflexive quotient of a von Neumann algebra, the point spectrum of is non-empty (i.e. for some…
maximal regularity on Banach spaces with a Schauder basis
N. J. Kalton, G. Lancien
We investigate the problem of -maximal regularity on Banach spaces having a Schauder basis. Our results improve those of a recent paper.
The calculus and sums of closed operators
N. J. Kalton, L. Weis
We develop a very general operator-valued functional calculus for operators with an calculus. We then apply this to the joint functional calculus of two commuting sect…
The Marcinkiewicz multiplier condition for bilinear operators
Loukas Grafakos, Nigel Kalton
This article is concerned with the question of whether Marcinkiewicz multipliers on give rise to bilinear multipliers on . We show t…