Search results for "manifold"
showing 10 items of 415 documents
A note on banach partial *-algebras
2006
A Banach partial *-algebra is a locally convex partial *-algebra whose total space is a Banach space. A Banach partial *-algebra is said to be of type (B) if it possesses a generating family of multiplier spaces that are also Banach spaces. We describe the basic properties of such objects and display a number of examples, namely LP-like function spaces and spaces of operators on Hilbert scales.
A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
2009
[EN] In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space HV (U) of holomorphic functions on U has a Frechet algebra structure. For such weights it is shown that the spectrum of HV(U) has a natural analytic manifold structure when X is a symmetrically regular Banach space, and in particular when X = C-n. (C) 2009 Elsevier Ltd. All rights reserved.
Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
2006
Abstract It is shown that if the modulus Γ X of nearly uniform smoothness of a reflexive Banach space satisfies Γ X ′ ( 0 ) 1 , then every bounded closed convex subset of X has the fixed point property for nonexpansive mappings. In particular, uniformly nonsquare Banach spaces have this property since they are properly included in this class of spaces. This answers a long-standing question in the theory.
Existence theorems for m-accretive operators in Banach spaces
2005
Abstract In 1985, the second author proved a surjective result for m -accretive and ϕ -expansive mappings for uniformly smooth Banach spaces. However, in this case, we have been able to remove the uniform smoothness of the Banach space, without any additional assumption.
A short proof of a theorem of Ahlfors
1988
In [1] Ahlfors proved that the Weil-Petersson metric of the Teichmfiller space is K~hler. A new proof was given by Fischer and Tromba [5] in a purely Riemannian setting of Teichmfiller theory [3]. We shall provide yet another proof that slightly shortens the argument of Fischer and Tromba. We begin with a brief review of the Fischer-Tromba approach to Teichmiiller theory [3-5]. Let M be a compact connected oriented 2-dimensional manifold without boundary.
Periodicity vectors for labelled trees
2003
AbstractThe concept of a periodicity vector is introduced in the context of labelled trees, and some new periodicity theorems are obtained. These results constitute generalizations of the classical periodicity theorem of Fine and Wilf for words. The concept of a tree congruence is also generalized and the isomorphism between the lattice of tree congruences and the lattice of unlabelled trees (prefix codes) is established.
A multilinear Lindenstrauss theorem
2006
Abstract We show that the set of N -linear mappings on a product of N Banach spaces such that all their Arens extensions attain their norms (at the same element) is norm dense in the space of all bounded N -linear mappings.
Every Quojection is the Quotient of a Countable Product of Banach Spaces
1989
It is proved that every quojection in the sense of Bellenot and Dubinsky [1] is the quotient of a countable product of copies of l 1 (I) for a suitable index set I.
Preduals of spaces of homogeneous polynomials onLp-spaces
2012
Given a regular probability measure μ on a compact Hausdorff space, we explicitly describe the predual of the Banach space of continuous n-homogeneous polynomials on L p (μ) as the completion of a (explicit constructed) subspace of L p/n (μ) with respect to a (explicitly constructed) norm π p/n . An application to the factorization of dominated polynomials is provided.