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Let X be a a real normed linear space of dimension at least three, with unit sphere S-X. In this paper we prove that X is an inner product space if and only if every three point subset of S-X has a Chebyshev center in its convex hull. We also gi[...]texto impreso
Let S,q be the collection of all compact operators T on a (complex) Hilbert space H such that (INVALID INPUT),q(T) = (P1 n=1((n)sn(T))qn?1)1/qtexto impreso
Etayo Gordejuela, J. Javier ; Martínez García, Ernesto | Matematisk Institut, Universitetsparken NY Munkegade | 2004We construct a special type of fundamental regions for any Fuchsian group $F$ generated, by an even number of half-turns, and for certain non-Euclidean crystallographic groups (NEC groups in short). By comparing these regions we give geometrical[...]texto impreso
We give a maximal description in the sense of Aronszajn-Gagliardo for the real method in the category of quasi-Banach spaces.texto impreso
Bashir, Zia ; Cobos, Fernando ; Karadzhov, Georgi E. | Matematisk Institut, Universitetsparken NY Munkegade | 2014We prove optimal embeddings of Calderon spaces built-up over function spaces defined in R-n with the Lebesgue measure into generalized Holder-Zygmund spaces in the super-critical and critical cases.texto impreso
García-Pacheco, F.J. ; Rambla-Barreno, F. ; Seoane-Sepúlveda, Juan B. | Matematisk Institut, Universitetsparken NY Munkegade | 2008Let L, S and D denote, respectively, the set of Q-linear functions, the set of everywhere surjective functions and the set of dense-graph functions on R. In this note, we show that the sets D \ (S boolean OR L), S \ L, S boolean AND L and D bool[...]texto impreso
Let (A(0)A(1)) and (B-0,B-1) be couples of quasi-Banach spaces and let T be a linear operator. We prove that if T:A(0) --> B-0 is compact and T: A(1) --> B-1 is bounded, then T: (A(0),A(1))(theta,q) --> (B-0,B-1)(theta,q) is also compact. Som[...]texto impreso
Villanueva, Ignacio ; Pérez García, David | Matematisk Institut, Universitetsparken NY Munkegade | 2005We prove that a tensor norm alpha (defined on tensor products of Hilbert spaces) is the Hilbert-Schmidt norm if and only if l(2) circle times(...)circle times l(2), endowed with the norm alpha, has an unconditional basis. This extends a classica[...]
