Completion of Fuzzy Normed Spaces

In this paper we recall the definition of fuzzy normed space. Much attention is paid to the concept of completeness a property which a fuzzy normed space may or may not have. We prove that for a fuzzy normed space there is always a competition. Also we study the relation between ordinary normed space and fuzzy normed space

Fuzzy Hilbert Spaces

we introduce the definition of afuzzy inner product space and discuss someproperties of this space,and we use the definition of fuzzy inner product space tointroduced anew definitions such that the definition of fuzzy Hilbert space ,Fuzzyconvergence, ,Fuzzy complete,and we studied the relation between ordinary innerproduct space and fuzzy inner product space

Solvability of Semilinear Initial Value Perturbed Control Problems with Unbounded Control Operators

In this paper the local existence and uniqueness of the mild solution to some operator semi-linear initial value control problem were studied and developed by using the theory of perturbation, composite, admissibility and "Banach contraction principle", in arbitrary Hilbert space H via perturbation composite semigroup approach

One Parameter Composite Semigroups of Linear Bounded Operators in Strong Operator Topology of Schatten Class Cp

For semigroups of linear bounded operators on Hilbert spaces, the problem of being in Cp , 0 Keyword