Abstract The problem of describing the analytic functions g on unit disc such that integral operator $$T_g(f)(z)=\int _0^zf(\zeta )g'(\zeta )\,d\zeta $$ T g ( f ) z = <mml:ms...

we show that the variational inequality $vi(c,a)$ has aunique solution for a relaxed $(gamma , r)$-cocoercive,$mu$-lipschitzian mapping $a: cto h$ with $r>gamma mu^2$, where$c$ is a nonempty closed convex subset of a hilbert space $h$. fromthis result, it can be derived that, for example, the recentalgorithms given in the references of this paper, despite theirbecoming more complicated, are not...

In this paper, we describe the primitive ideal space of the $C^*$-algebra $C^*(mathcal G)$  associated to the ultragraph $mathcal{G}$. We investigate the structure of the closed ideals of the quotient ultragraph $  C^* $-algebra  $C^*left(mathcal G/(H,S)right)$ which contain no nonzero set projections and then we characterize all non gauge-invariant primitive ideals. Our results generalize the ...

in [1,2,3], a. c. baker and j.w. baker studied the subspace ma(s) of the convolution measure algebra m, (s) of a locally compact semigroup. h. dzinotyiweyi in [5,7] considers an analogous measure space on a large class of c-distinguished topological semigroups containing all completely regular topological semigroups. in this paper, we extend the definitions to study the weighted semigroup algeb...

implications for the crystallization method of the metallic cores. In order to match observed P values in iron meteorites, the core must crystallize in the presence of the P-rich liquid. The composition of the S-rich liquid, dictated by the liquid immiscibility field, hasP contents much too low to reproduce P trends of iron meteorites. This suggests that inward core crystallization from the cor...

Geoencryption is the use of position navigation and time (PNT) information as means to enhance the security of a traditional cryptographic system. The information is used to generate an additional security key, a “geolock”, that is necessary to access the encrypted data or application. The concept was originally proposed by Logan Scott and Dorothy Denning. This paper examines the benefits of us...

Let H denote a separable, complex, Hilbert space and let L(H) denote the algebra of all bounded linear operators on H. Determining the structure of an arbitrary operator in L(H) has been one of the most studied topics in operator theory. In particular, the problem whether every operator T in L(H) has a nontrivial invariant subspace is still open. The most recent partial result in this direction...

We consider poset models of topological spaces and show that every T1-space has an bounded complete algebraic poset model, thus give a positive answer to a question asked in a recent paper by Waszkiewicz. It is also proved that every T1-space is homeomorphic to the maximal point space of a d-space. In the classic general topology, people are mainly interested in the spaces which satisfy at leas...

The article is devoted to the investigations of the topological properties of d-spaces introduced by Wyler, Lecture Notes in Mathematics, vol. 871 (1981), 384-389. In particular, it is established that for this rather wide class of topological spaces the known Scott construction gives the spaces that are homeomorphic to the spaces of all continuous mappings into themselves. The present article ...