Displaying 701 – 720 of 1086

Showing per page

Optimal domains for kernel operators on [0,∞) × [0,∞)

Olvido Delgado (2006)

Studia Mathematica

Let T be a kernel operator with values in a rearrangement invariant Banach function space X on [0,∞) and defined over simple functions on [0,∞) of bounded support. We identify the optimal domain for T (still with values in X) in terms of interpolation spaces, under appropriate conditions on the kernel and the space X. The techniques used are based on the relation between linear operators and vector measures.

Optimal integrability of the Jacobian of orientation preserving maps

Andrea Cianchi (1999)

Bollettino dell'Unione Matematica Italiana

Dato un qualsiasi spazio invariante per riordinamenti X Ω su un insieme aperto Ω R n , si determina il più piccolo spazio invariante per riordinamenti Y Ω con la proprietà che se u : Ω R n è una applicazione che mantiene l'orientamento e D u n X Ω , allora det D u appartiene localmente a Y Ω .

Order convergence of vector measures on topological spaces

Surjit Singh Khurana (2008)

Mathematica Bohemica

Let X be a completely regular Hausdorff space, E a boundedly complete vector lattice, C b ( X ) the space of all, bounded, real-valued continuous functions on X , the algebra generated by the zero-sets of X , and μ C b ( X ) E a positive linear map. First we give a new proof that μ extends to a unique, finitely additive measure μ E + such that ν is inner regular by zero-sets and outer regular by cozero sets. Then some order-convergence theorems about nets of E + -valued finitely additive measures on are proved, which extend...

P-adic Spaces of Continuous Functions I

Athanasios Katsaras (2008)

Annales mathématiques Blaise Pascal

Properties of the so called θ o -complete topological spaces are investigated. Also, necessary and sufficient conditions are given so that the space C ( X , E ) of all continuous functions, from a zero-dimensional topological space X to a non-Archimedean locally convex space E , equipped with the topology of uniform convergence on the compact subsets of X to be polarly barrelled or polarly quasi-barrelled.

P-adic Spaces of Continuous Functions II

Athanasios Katsaras (2008)

Annales mathématiques Blaise Pascal

Necessary and sufficient conditions are given so that the space C ( X , E ) of all continuous functions from a zero-dimensional topological space X to a non-Archimedean locally convex space E , equipped with the topology of uniform convergence on the compact subsets of X , to be polarly absolutely quasi-barrelled, polarly o -barrelled, polarly -barrelled or polarly c o -barrelled. Also, tensor products of spaces of continuous functions as well as tensor products of certain E -valued measures are investigated.

Paracompact Spaces and Radon Spaces

Rodriguez-Salinas, Baltasar (1999)

Serdica Mathematical Journal

We prove that if E is a subset of a Banach space whose density is of measure zero and such that (E, weak) is a paracompact space, then (E, weak) is a Radon space of type (F ) under very general conditions.

Pettis integration

Musiał, Kazimierz (1985)

Proceedings of the 13th Winter School on Abstract Analysis

Points fixes et théorèmes ergodiques dans les espaces L¹(E)

Mourad Besbes (1992)

Studia Mathematica

We prove that for each linear contraction T : X → X (∥T∥ ≤ 1), the subspace F = {x ∈ X : Tx = x} of fixed points is 1-complemented, where X is a suitable subspace of L¹(E*) and E* is a separable dual space such that the weak and weak* topologies coincide on the unit sphere. We also prove some related fixed point results.

Currently displaying 701 – 720 of 1086