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Displaying 1501 – 1520 of 1948

On the size of the sets of gradients of bump functions and starlike bodies on the Hilbert space

Daniel Azagra, Mar Jiménez-Sevilla (2002)

Bulletin de la Société Mathématique de France

We study the size of the sets of gradients of bump functions on the Hilbert space $ℓ_{2}$ , and the related question as to how small the set of tangent hyperplanes to a smooth bounded starlike body in $ℓ_{2}$ can be. We find that those sets can be quite small. On the one hand, the usual norm of the Hilbert space $ℓ_{2}$ can be uniformly approximated by $C^{1}$ smooth Lipschitz functions $ψ$ so that the cones generated by the ranges of its derivatives $ψ^{'} (ℓ_{2})$ have empty interior. This implies that there are $C^{1}$ smooth Lipschitz bumps...

On the smoothness of Orlicz sequence spaces equipped with Orlicz norm.

Zhongrui Shi, Tingfu Wang (1996)

Collectanea Mathematica

We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm.

On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces.

Bouziani, Abdelfatah (2002)

International Journal of Mathematics and Mathematical Sciences

Currently displaying 1501 – 1520 of 1948

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Displaying 1501 – 1520 of 1948

On the size of the sets of gradients of bump functions and starlike bodies on the Hilbert space

On the smoothness of Orlicz sequence spaces equipped with Orlicz norm.

On the Sobolev class $W_{loc}^{1, p}$ and quasiregularity.

On the Sobolev spaces I.

On the solubility of transcendental equations in commutative C*-algebras.

On the solution $n$ -dimensional of the product $\otimes k$ operator and diamond Bessel operator.

On the solution of distributional Abel integral equation by distributional Sumudu transform.

On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces.

On the solvability of nonlocal pluriparabolic problems.

On the Souslin-graph theorem

On the Space C(X,E) with the Topology of Simple Convergence.

On the space D'(l) of sequential distributions.

On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions

On the space of integral Dirichlet functions of several complex variables

On the space of $p$ -summable sequences

On the space of vector-valued functions integrable with respect to the white noise

On the spectra of elements in certain algebras of vector valued functions and sequences.

On the spectra of holomorphic function algebras

On the spectral properties of elements of the type exp(ih) in Hermitian Banach algebras

On the spectral properties of tensor products of linear operators in Banach spaces

Currently displaying 1501 – 1520 of 1948