Some Geometric Properties Of Multivalent Convex Function For Operator On Hilbert Space

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Some properties for a class of meromorphically multivalent functions with linear operator

‎Making use of a linear operator‎, ‎which is defined here by means of‎ ‎the Hadamard product (or convolution)‎, ‎we define a subclass‎ ‎$mathcal {T}_{p}(a‎, ‎c‎, ‎gamma‎, ‎lambda; h)$ of meromorphically‎ ‎multivalent functions‎. ‎The main object of this paper is to‎ ‎investigate some important properties for the class‎. ‎We also derive‎ ‎many results for the Hadamard roducts of functions belong...

Some Geometric Properties of Closed Space Curves and Convex Bodies

The main results of the paper are as follows. 1. On each smooth closed oriented curve in Rn, there exist two points the oriented tangents at which form an angle greater than π/2 + sin−1 1 n−1 . 2. If n is odd, then an (n+1)-gon with equal sides and lying in a hyperplane can be inscribed in each smooth closed Jordan curve in Rn. In particular, a rhombus can be inscribed in each closed curve in R...

Some Results on g-Frame Operator in Hilbert Space

The g-frame operator for g-frame in Hilbert space is introduced. The results of g-frame operator are presented. A sequence of operators Λ̄j∈J(where Λ̄ = ΛSg −1 ) is a g-frame for the Hilbert space H with frame bounds 1 B and 1 A . Frame identities for g-normalized tight frames are established. Results on direct sum of gframe operators on direct sum of Hilbert spaces are presented. Mathematics Sub...

Operator Extensions on Hilbert Space