In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.

We show that if X is a tight subspace of C(K) then X has the Pe lczyński property and X is weakly sequentially complete. We apply this result to the space U of uniformly convergent Taylor series on the unit circle and using a minimal amount of Fourier theory prove that U has the Pe lczyński property and U is weakly sequentially complete. Using separate methods, we prove U and U have the Dunford...

We define a locally convex space E to have the Josefson-Nissenzweig property (JNP) if identity map (E?, ?(E?, E)) ? ?*(E?, is not sequentially continuous. By classical theorem, every infinite-dimensional Banach has JNP. A characterization of spaces with JNP given. thoroughly study in various function spaces. Among other results we show that for Tychonoff X, Cp(X) iff there weak* null-sequence (...

We show that the image of a commutative monotone sequentially complete C∗-algebra, under a sequentially normal morphism, is again a monotone sequentially complete C-algebra, and also a monotone sequentially closed C∗-subalgebra. As a consequence, the image of an algebra of this type, under a sequentially normal representation in a separable Hilbert space, is strongly closed. In the case of a un...

This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of  upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on $f$ used in the literature are relaxed. The KKM technique is used to generalize and unify some exist...

We define a tracial analog of the notion called sequentially split $$^*$$ -homomorphism between $$C^*$$ -algebras due to Barlak and Szabó show that several important approximation properties related classification theory pass from target algebra domain algebra. Then, we this framework arises Rokhlin finite group action an inclusion unital -algebras.

We consider pure exchange, one good OLG economies under stationary Markov uncertainty. It is known that when markets are sequentially complete, a stationary equilibrium at which the agents common matrix of intertemporal rates of substitution has a Perron root which is less than or equal to one is conditionally Pareto optimal (CPO). We assume that there exists a long-lived dividend paying asset ...

We see then, in Sign, at every level—lexical, grammatical, syntactic—a linguistic use of space: a use that is amazingly complex, for much of what occurs linearly, sequentially, temporally in speech, becomes simultaneous, concurrent, multileveled in Sign. The surface of Sign may appear simple to the eye, like that of gesture or mime, but one soon finds that this is an illusion, and what looks so...