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Displaying 61 – 80 of 397

Density conditions in Fréchet and (DF)-spaces.

Klaus-Dieter. Bierstedt, José Bonet (1989)

Revista Matemática de la Universidad Complutense de Madrid

We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.

Density of smooth maps for fractional Sobolev spaces $W^{s, p}$ into $ℓ$ simply connected manifolds when $s \geq 1$

Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen (2013)

Confluentes Mathematici

Given a compact manifold $N^{n} \subset ℝ^{ν}$ and real numbers $s \geq 1$ and $1 \leq p < \infty$ , we prove that the class $C^{\infty} ({\bar{Q}}^{m}; N^{n})$ of smooth maps on the cube with values into $N^{n}$ is strongly dense in the fractional Sobolev space $W^{s, p} (Q^{m}; N^{n})$ when $N^{n}$ is $⌊ s p ⌋$ simply connected. For $s p$ integer, we prove weak sequential density of $C^{\infty} ({\bar{Q}}^{m}; N^{n})$ when $N^{n}$ is $s p - 1$ simply connected. The proofs are based on the existence of a retraction of $ℝ^{ν}$ onto $N^{n}$ except for a small subset of $N^{n}$ and on a pointwise estimate of fractional derivatives of composition of maps in $W^{s, p} \cap W^{1, s p}$ .

Density of the self-adjoint elements with finite spectrum in an irrational rotation C*-algebra.

Man-Duen Choi, George A. Elliot (1990)

Mathematica Scandinavica

Density theorems for sampling and interpolation in the Bargmann-Fock space II.

Kristian Seip, Robert Wallstén (1992)

Journal für die reine und angewandte Mathematik

Density theorems for sampling and interpolation in the Bargmann-Fock space I.

Kristian Seip (1992)

Journal für die reine und angewandte Mathematik

Density theorems for sampling and interpolation in the Bargmann-Fock space III.

Kristian Seip, Svein Brekke (1993)

Mathematica Scandinavica

Dentabilité et points extrémaux

Elias Saab (1973/1974)

Séminaire Choquet. Initiation à l'analyse

Dentability and finite-dimensional decompositions

J. Bourgain (1980)

Studia Mathematica

Dentable functions and radially uniform quasi-convexity.

Looney, Carl G. (1978)

International Journal of Mathematics and Mathematical Sciences

Denting point in the space of operator-valued continuous maps.

Ryszard Grzaslewicz, Samir B. Hadid (1996)

Revista Matemática de la Universidad Complutense de Madrid

In a former paper we describe the geometric properties of the space of continuous functions with values in the space of operators acting on a Hilbert space. In particular we show that dent B(L(H)) = ext B(L(H)) if dim H < 8 and card K < 8 and dent B(L(H)) = 0 if dim H < 8 or card K = 8, and x-ext C(K,L(H)) = ext C(K,L(H)).