On Hilbert sets and $C_{λ}(g)$-spaces with no subspace isomorphic to $c_0$

Daniel Li

Displaying similar documents to “On Hilbert sets and $C_{λ} (g)$ -spaces with no subspace isomorphic to $c_{0}$ ”

Comparisons of Sidon and $I_{0}$ sets

L. Ramsey (1996)

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On Hadamard-Dirichlet algebras.

Barrenechea, A.L., Peña, C.C. (2002)

Acta Mathematica Universitatis Comenianae. New Series

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On convolution operators with small support which are far from being convolution by a bounded measure

Edmond Granirer (1994)

Colloquium Mathematicae

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Let $C V_{p} (F)$ be the left convolution operators on $L^{p} (G)$ with support included in F and $M_{p} (F)$ denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that $C V_{p} (F)$ , $C V_{p} (F) / M_{p} (F)$ and $C V_{p} (F) / W$ are as big as they can be, namely have $l^{\infty}$ as a quotient, where the ergodic space W contains, and at times is very big relative to $M_{p} (F)$ . Other subspaces of $C V_{p} (F)$ are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.

Strong proximinality and polyhedral spaces.

Gilles Godefroy, V. Indumathi (2001)

Revista Matemática Complutense

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In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.

A formula for angles between subspaces of inner product spaces.

Gunawan, Hendra, Neswan, Oki, Setya-Budhi, Wono (2005)

Beiträge zur Algebra und Geometrie

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AMD-numbers, compactness, strict singularity and the essential spectrum of operators.

Castejón, A., Corbacho, E., Tarieladze, V. (2002)

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The existence of bounded solutions for differential equations in Hilbert spaces

B. Przeradzki (1992)

Annales Polonici Mathematici

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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.

Duality of a large family of analytic function spaces.

Lindström, Mikael, Palmberg, Niklas (2007)

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On the Hammerstein equation in the space of functions of bounded $ϕ$ -variation in the plane

Luis Azócar, Hugo Leiva, Jesús Matute, Nelson Merentes (2013)

Archivum Mathematicum

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In this paper we study existence and uniqueness of solutions for the Hammerstein equation $u (x) = v (x) + λ \int_{I_{a}^{b}} K (x, y) f (y, u (y)) d y, x \in I_{a}^{b} : = [a_{1}, b_{1}] \times [a_{2}, b_{2}],$ in the space $B V_{ϕ}^{ℝ} (I_{a}^{b})$ of function of bounded total $ϕ -$ variation in the sense of Riesz, where $λ \in ℝ$ , $K : I_{a}^{b} \times I_{a}^{b} \to ℝ$ and $f : I_{a}^{b} \times ℝ \to ℝ$ are suitable functions.

Displaying similar documents to “On Hilbert sets and C λ ( g ) -spaces with no subspace isomorphic to c 0 ”

Displaying similar documents to “On Hilbert sets and $C_{λ} (g)$ -spaces with no subspace isomorphic to $c_{0}$ ”