Search Results - "Kalton, N. J."
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Uniform homeomorphisms of Banach spaces and asymptotic structure
Published in Transactions of the American Mathematical Society (01-02-2013)“…<<; in particular we give some new examples of spaces with unique uniform structure.]]>…”
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Twisted sums with C(K) spaces
Published in Transactions of the American Mathematical Society (01-11-2003)“…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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The thresholding greedy algorithm, greedy bases, and duality
Published in Constructive approximation (01-01-2003)Get full text
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A remark on quasi-isometries
Published in Proceedings of the American Mathematical Society (01-04-2003)“…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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Hermitian operators on complex Banach lattices and a problem of Garth Dales
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
Published in Transactions of the American Mathematical Society (01-10-2001)“…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
Published in Proceedings of the American Mathematical Society (01-05-2002)“…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
Published in Transactions of the American Mathematical Society (01-09-1999)“…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
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
Published in Proceedings of the American Mathematical Society (01-01-2004)“…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
Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01-06-2004)“…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 L1
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Rademacher bounded families of operators on L_1
Published in Proceedings of the American Mathematical Society (01-01-2008)“…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
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
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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On Subspaces of c0 and Extension of Operators into C(K)‐Spaces
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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The uniform structure of Banach spaces
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
Published in Proceedings of the American Mathematical Society (01-01-2004)“…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
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
Published in Transactions of the American Mathematical Society (1992)“…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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