Search Results - "Kalton, N. J."

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  1. 1

    Uniform homeomorphisms of Banach spaces and asymptotic structure by KALTON, N. J.

    “…<<; in particular we give some new examples of spaces with unique uniform structure.]]>…”
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    Twisted sums with C(K) spaces by Sánchez, F. Cabello, Castillo, J. M. F., Kalton, N. J., Yost, D. T.

    “…If X is a separable Banach space, we consider the existence of non-trivial twisted sums 0\to C(K)\to Y\to X\to 0, where K=[0,1] or \omega^{\omega}. For the…”
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    A remark on quasi-isometries by Kalton, N. J.

    “…We show that if f:B_n\to\mathbb R^n is an \epsilon-quasi-isometry, with \epsilon<1, defined on the unit ball B_n of \mathbb R^n, then there is an affine…”
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  5. 5

    Hermitian operators on complex Banach lattices and a problem of Garth Dales by Kalton, N. J.

    Published in Journal of the London Mathematical Society (01-12-2012)
    “…Let E⊕F be a direct sum decomposition of a complex Banach lattice X. Garth Dales asked recently whether the equation ‖x+y‖=‖ |x|∨|y| ‖ for all x∈E and y∈F…”
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    Szlenk indices and uniform homeomorphisms by Godefroy, G., Kalton, N. J., Lancien, G.

    “…We prove some rather precise renorming theorems for Banach spaces with Szlenk index \omega_0. We use these theorems to show the invariance of certain…”
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    The range of operators on von Neumann algebras by Bermúdez, Teresa, Kalton, N. J.

    “…We prove that for every bounded linear operator T:X\to X, where X is a non-reflexive quotient of a von Neumann algebra, the point spectrum of T^* is non-empty…”
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    Nonlinear equations and weighted norm inequalities by Kalton, N. J., Verbitsky, I. E.

    “…We study connections between the problem of the existence of positive solutions for certain nonlinear equations and weighted norm inequalities. In particular,…”
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    COARSE AND UNIFORM EMBEDDINGS INTO REFLEXIVE SPACES by Kalton, N. J.

    Published in Quarterly journal of mathematics (01-09-2007)
    “…Answering an old problem in nonlinear theory, we show that c0 cannot be coarsely or uniformly embedded into a reflexive Banach space, but that any stable…”
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    Banach spaces embedding isometrically into L_p when 0<p<1 by Kalton, N. J., Koldobsky, A.

    “…For 0<p<1 we give examples of Banach spaces isometrically embedding into L_p but not into any L_r with p<r\le 1…”
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    Invariant subspaces and the exponential map by ATZMON, A, GODEFROY, G, KALTON, N. J

    “…Bounded operators with no non-trivial closed invariant subspace have been constructed by P. Enflo. In fact, there exist bounded operators on the space l1 with…”
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    Rademacher bounded families of operators on L_1 by N. J. Kalton, T. Kucherenko

    “…We give a characterization of R-bounded families of operators on L_1. We then use this result to study sectorial operators on L_1. We show that if A is an…”
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    A Characterization of Real C(K)-Spaces by Albiac, F., Kalton, N. J.

    Published in The American mathematical monthly (01-10-2007)
    “…A characterization of real Banach algebras that are isometrically isomorphic to (real) spaces C(K) of continuous functions on compact Hausdorff Spaces K is…”
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    Uniqueness of unconditional bases in Banach spaces by Casazza, P. G., Kalton, N. J.

    Published in Israel journal of mathematics (01-01-1998)
    “…We prove a general results on complemented unconditional basic sequences in Banach lattices and apply it to give some new examples of spaces with unique…”
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  16. 16

    On Subspaces of c0 and Extension of Operators into C(K)‐Spaces by Kalton, N. J.

    Published in Quarterly journal of mathematics (01-09-2001)
    “…Johnson and Zippin recently showed that if X is a weak*‐closed subspace of ℓ1 and T : X → C(K) is any bounded operator then T can be extended to a bounded…”
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  17. 17

    The uniform structure of Banach spaces by Kalton, N. J.

    Published in Mathematische annalen (01-12-2012)
    “…We explore the existence of uniformly continuous sections for quotient maps. Using this approach we are able to give a number of new examples in the theory of…”
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    Banach Spaces Embedding Isometrically into Lp When $0<p<1 by Kalton, N. J., Koldobsky, A.

    “…For $0<p<1$ we give examples of Banach spaces isometrically embedding into Lp but not into any Lr with $p<r\leq 1$…”
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    Examples of uniformly homeomorphic Banach spaces by Kalton, N. J.

    Published in Israel journal of mathematics (01-03-2013)
    “…We give several examples of separable Banach spaces which are nonisomorphic but uniformly homeomorphic. For example, we show that for every 1 < p ≠ 2 < ∞ there…”
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    Differentials of Complex Interpolation Processes for Köthe Function Spaces by Kalton, N. J.

    “…We continue the study of centralizers on Köthe function spaces and the commutator estimates they generate (see [29]). Our main result is that if X is a…”
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