We are concerned with some unbounded linear operators on the so-called p-adic Hilbert space Eω. Both the Closedness and the selfadjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on Eω, and the solvability of the equation Au = v where A is a linear operator on Eω. AMS subject classification. 47S10; 46S10; 47A05; 47B25.

In this article, we establish sufficient conditions for the solution sets of parametric generalized quasi-variational relation problems with the stability properties such as the upper semicontinuity, lower semi-continuity, the Hausdorff lower semicontinuity, continuity, Hausdorff continuity, and closedness. Our results improve recent existing ones in the literature. Mathematics Subject Classifi...

The concept of pairwise S-closedness in bitopological spaces has been introduced and some properties of such spaces have been studied in this paper. EY WORDS AND PHRASES. Pairwise semi-open, Pairwise almost compact, Pairwise S-closed, Pairwise regularly open and regularly closed, Pairwise extremal disconnectedness, Pairwise semi-continuous and irresolute functions. 1980 AMS MATHEMATICS SUBJECT ...

In this paper we define gradation of RS-compactness and S*-closed spaces in L-topological spaces.We generalize the degrizations of RS-compactness and S*-closedness to the L-topological space and give the positions of them under weak forms of L-continuity. 2010 AMS Classification: 54A40, 06D72

In this paper, we describe the relationships between pseudo MV algebras and semirings. We also give definitions of automata on lattice ordered semirings, prove that the family of K-Languages is closed under union, and discuss the conditions for the closedness of families of K-languages under intersection, generalized intersection and reversal operations.

this paper extends the notion of ditopology to the case where openness and closedness are given in terms of {em a priori} unrelated drading functions. the resulting notion of graded ditopology is considered both in the setting of lattices and in that textures, the relation between the two approaches being discussed in detail. interrelations between graded ditopologies and ditopologies on textur...

We consider the first-order Cauchy problem ∂zu + a(z, x,Dx)u = 0, 0 < z ≤ Z, u |z=0 = u0, with Z > 0 and a(z, x,Dx) a k×k matrix of pseudodifferential operators of order one, whose principal part a1 is assumed symmetrizable: there exists L(z, x, ξ) of order 0, invertible, such that a1(z, x, ξ) = L(z, x, ξ) (−iβ1(z, x, ξ) + γ1(z, x, ξ)) (L(z, x, ξ))−1, where β1 and γ1 are hermitian symmetric and...

Let $H$ be an acylindrically hyperbolic group without nontrivial finite normal subgroups. We show that any system $S$ of equations with constants from is equivalent to a single equation. also the algebraic set associated is, up conjugacy, projection splitted equation (such has form $w(x\_1,\ldots,x\_n)=h$, where $w\in F(X)$, $h\in H$). From this we deduce following statement: $G$ arbitrary over...