On an extension of norms from a subspace to the whole Banach space keeping their rotundity

M. Fabian

Displaying similar documents to “On an extension of norms from a subspace to the whole Banach space keeping their rotundity”

Volume ratios in $L_{p}$ -spaces

Yehoram Gordon, Marius Junge (1999)

Studia Mathematica

Similarity:

There exists an absolute constant $c_{0}$ such that for any n-dimensional Banach space E there exists a k-dimensional subspace F ⊂ E with k≤ n/2 such that $i n f_{e l l i p s o i d ε \subset B_{E}} {(v o l (B_{E}) / v o l (ε))}^{1 / n} \leq c_{0} i n f_{z o n o i d Z \subset B_{F}} {(v o l (B_{F}) / v o l (Z))}^{1 / k}$ . The concept of volume ratio with respect to $ℓ_{p}$ -spaces is used to prove the following distance estimate for $2 \leq q \leq p < \infty$ : $s u p_{F \subset ℓ_{p}, d i m F = n} i n f_{G \subset L_{q}, d i m G = n} d (F, G) \sim_{c_{p q}} n^{(q / 2) (1 / q - 1 / p)}$ .

On modified Landau polynomials

J. Radecki (1962)

Studia Mathematica

Similarity:

On equations with reflection

D. Przeworska-Rolewicz (1969)

Studia Mathematica

Similarity:

The existence and the continuation of holomorphic solutions for convolution equations in tube domains

Ryuichi Ishimura, Yasunori Okada (1994)

Bulletin de la Société Mathématique de France

Similarity:

Ferromagnetic integrals, correlations and maximum principles

Johannes Sjöstrand (1994)

Annales de l'institut Fourier

Similarity:

For correlations of the form (0.2) we consider a critical case and prove power decay upper bounds in terms of the fundamental solution of a certain elliptic operator. This is achieved by improving the use of a maximum principle. We also formulate a general maximum principle and give two applications.

On the product of the conjugates outside the unit circle of an algebraic integer

A. Bazylewicz (1976)

Acta Arithmetica

Similarity:

On Ramanujan's continued fraction

K. Ramanathan (1984)

Acta Arithmetica

Similarity:

Finite-dimensional Banach spaces with symmetry constant of order √n

P. Mankiewicz (1984)

Studia Mathematica

Similarity:

Compensated compactness and one-dimensional elastodynamics

Gustaf Gripenberg (1995)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity: