A theorem on B-splines
Displaying 221 – 240 of 3166
A theorem on isotropic spaces
Félix Cabello Sánchez (1999)
Studia Mathematica
Let X be a normed space and the group of all linear surjective isometries of X that are finite-dimensional perturbations of the identity. We prove that if acts transitively on the unit sphere then X must be an inner product space.
A theorem on matrices and its applications in functional analysis
Piotr Antosik, Charles Swartz (1984)
Studia Mathematica
A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces.
Han, Yongsheng, Müller, Detlef, Yang, Dachun (2008)
Abstract and Applied Analysis
A unified approach for commutators theorems in interpolation theory, a survey.
M. J. Carro, J. Cerdà, J. Soria (1996)
Revista Matemática de la Universidad Complutense de Madrid
We review the main facts that are behind a unified construction for the commutator theorem of the main interpolation methods.
A unified approach to the strong approximation property and the weak bounded approximation property of Banach spaces
Aleksei Lissitsin (2012)
Studia Mathematica
We consider convex versions of the strong approximation property and the weak bounded approximation property and develop a unified approach to their treatment introducing the inner and outer Λ-bounded approximation properties for a pair consisting of an operator ideal and a space ideal. We characterize this type of properties in a general setting and, using the isometric DFJP-factorization of operator ideals, provide a range of examples for this characterization, eventually answering a question...
A uniformly convex Banach space which contains no
T. Figiel, W. B. Johnson (1974)
Compositio Mathematica
A universal Lipschitz extension property of Gromov hyperbolic spaces.
A. Brundnyi, Y. Brundnyi (2007)
Revista Matemática Iberoamericana
A universal modulus for normed spaces
Carlos Benítez, Krzysztof Przesławski, David Yost (1998)
Studia Mathematica
We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define in a canonical way a function ξ:[0,1)→ ℝ which depends only on the two-dimensional subspaces of X. We show that this function is strictly increasing and convex, and that its behaviour is intimately connected with the geometry of X. In particular, ξ tells us whether or not X is uniformly smooth, uniformly convex, uniformly non-square or an inner product space.
A universal non-compact operator
William B. Johnson (1971)
Colloquium Mathematicae
A Universal Topology for Sequence Spaces.
William H. Ruckle (1978)
Mathematische Annalen
A weakly pseudocompact subspace of Banach space is weakly compact
David Preiss, Petr Simon (1974)
Commentationes Mathematicae Universitatis Carolinae
A₁-regularity and boundedness of Calderón-Zygmund operators
Dmitry V. Rutsky (2014)
Studia Mathematica
The Coifman-Fefferman inequality implies quite easily that a Calderón-Zygmund operator T acts boundedly in a Banach lattice X on ℝⁿ if the Hardy-Littlewood maximal operator M is bounded in both X and X'. We establish a converse result under the assumption that X has the Fatou property and X is p-convex and q-concave with some 1 < p, q < ∞: if a linear operator T is bounded in X and T is nondegenerate in a certain sense (for example, if T is a Riesz transform) then M is bounded in both X and...
About an example of a Banach space not weaky K-analytic.
J. Kakol, M. López Pellicer (2009)
RACSAM
About certain isomorphic properties of Banach spaces in projective tensor products.
Giovanni Emmanuele (1990)
Extracta Mathematicae
This note is an announcement of results contained in the papers [4], [5], [6] concerning isomorphic properties of Banach spaces in projective tensor products (for this definition and some property we refer to [1]). At the end, some new result is obtained too.
About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system.
Astashkin, Sergey V. (2001)
International Journal of Mathematics and Mathematical Sciences
About some parameters of normed linear spaces
Emanuele Casini (1986)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Si prendono in considerazione particolari costanti relative alla struttura della sfera unitaria di uno spazio di Banach. Se ne studiano alcune generali proprietà, con particolare riferimento alle relazioni con il modulo di convessità dello spazio. Se ne fornisce inoltre una esatta valutazione negli spazi .
About the Banach envelope of l1,∞.
Albrecht Pietsch (2009)
Revista Matemática Complutense
About the class of ordered limited operators
A. El Kaddouri, Mohammed Moussa (2013)
Acta Universitatis Carolinae. Mathematica et Physica
We give a brief survey of recent results of order limited operators related to some properties on Banach lattices.
Absolutely (∞,p) summing and weakly-p-compact operators in Banach spaces.
Jesús M. Fernández Castillo (1990)
Extracta Mathematicae
A sequence (xn) in a Banach space X is said to be weakly-p-summable, 1 ≤ p < ∞, when for each x* ∈ X*, (x*xn) ∈ lp. We shall say that a sequence (xn) is weakly-p-convergent if for some x ∈ X, (xn - x) is weakly-p-summable.