منابع مشابه
Weak upper topologies and duality
In functional analysis it is well known that every linear functional defined on the dual of a locally convex vector space which is continuous for the weak∗ topology is the evaluation at a uniquely determined point of the given vector space. M. Schröder and A. Simpson have obtained a similar result for lower semicontinuous linear functionals on the cone of all Scott-continuous valuations on a to...
متن کاملWeak topologies for Linear Logic
We construct a denotational model of linear logic, whose objects are all the locally convex and separated topological vector spaces endowed with their weak topology. The negation is interpreted as the dual, linear proofs are interpreted as continuous linear functions, and non-linear proofs as sequences of monomials. We do not complete our constructions by a double-orthogonality operation. This ...
متن کاملWeak upper topologies and duality for cones
In functional analysis it is well known that every linear functional defined on the dual of a locally convex vector space which is continuous for the weak topology is the evaluation at a uniquely determined point of the given vector space. M. Schröder and A. Simpson have obtained a similar result for lower semicontinuous linear functionals on the cone of all Scott-continuous valuations on a top...
متن کاملWeak Topologies on the Bounded Holomorphic Functions
Let G be a region in the complex plane such that there is a nonconstant bounded holomorphic function on G, and denote the algebra of all such functions by BH{G). Let H^{G) denote the Banach algebra that arises when BH{G) is endowed with the supremum norm. In the case where G is the unit disc D, H*>(G) has been extensively studied, mostly by a real-variables analysis of the radial boundary value...
متن کاملEquicontinuity and Almost Periodic Functions1
Let A be a separated uniform space, C(X, X) the set of continuous functions of X into X, and C(X) the set of real valued continuous functions on X provided with the topology of uniform convergence. For fEC(X) and aEC(X, X), fa will denote that element of C(X) such that (fa)(x) =f(xa)(xEX). Let fEC(X) and A EC(X, X). Then f is said to be almost periodic with respect to A if fA = [fa\ aEA ] is a ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1980
ISSN: 0002-9939
DOI: 10.2307/2042975