Topics in Banach space theory
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible…
The H ∞ −calculus and sums of closed operators
We develop a very general operator-valued functional calcu- lus for operators with an H 1 −calculus. We then apply this to the joint functional calculus of two commuting sectorial operators when one…
Twisted sums of sequence spaces and the three space problem
In this paper we study the following problem: given a complete locally bounded sequence space Y, construct a locally bounded space Z with a subspace X such that both X and Z/X are isomorphic to Y,…
An F-space sampler
- N. Kalton, N. Peck, James W. Roberts
- Mathematics
- 27 September 1984
1. Preliminaries 2. Some of the classic results 3. Hardy spaces 4. The Hahn-Banach extension property 5. Three space problems 6. Lifting Theorems 7. Transitive spaces and small operators 8. Operators…
Lipschitz-free Banach spaces
- G. Godefroy, N. Kalton
- Mathematics
- 2003
We show that when a linear quotient map to a separable Banach space X has a Lipschitz right inverse, then it has a linear right inverse. If a separable space X embeds isometrically into a Banach…
Spaces of compact operators
- N. Kalton
- Mathematics
- 1 December 1974
In this paper we study the structure of the Banach space K(E, F) of all compact linear operators between two Banach spaces E and F. We study three distinct problems: weak compactness in K(E, F),…
Nonlinear equations and weighted norm inequalities
- N. Kalton, I. Verbitsky
- Mathematics
- 8 September 1997
We study connections between the problem of the existence of positive solutions for certain nonlinear equations and weighted norm inequalities. In particular, we obtain explicit criteria for the…
The three-space problem for locally bounded F-spaces
- N. Kalton
- Physics
- 1978
A method and apparatus is disclosed for continuously treating an active particulate material, typically, starch materials, protein materials and oil containing materials, under heat and pressure.
The Existence Of Value In Differential Games
- R. Elliott, N. Kalton
- Economics
- 1972
Introduction Definition of the game $G$ The concept of value The value in the sense of Friedman Another formula for the Friedman upper and lower values The value in the sense of Fleming An estimate…
Symmetric norms and spaces of operators
- N. Kalton, F. Sukochev
- Mathematics
- 2008
Abstract We show that if (E, ∥ · ∥ E ) is a symmetric Banach sequence space then the corresponding space of operators on a separable Hilbert space, defined by if and only if , is a Banach space under…
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