On some classes of bipartite unitary operators

Some equivalence classes of operators on B(H)

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 equivalence classes of operators on b(h)

Perturbation properties of some classes of operators

Riassunto: Sia X uno spazio di Banach complesso e L(X) l'algebra di di Banach di tutti gli operatori lineari limitati in X. Considerate le seguenti famiglie di operatori: D(X) = {T ∈ L(X) : T (X) is closed and N (T) ⊆ ∞ n=1 T n (X)}, S(X) = {T ∈ D(X) : T is relatively regular}. si determinanno i punti interni di D(X) e S(X), si dimostrano inoltre alcuni teoremi di perturbazione. Abstract: Let X...

On surjectivity of some classes of generalized monotone operators

We present results for the existence of solutions for variational inequalities given by generalized monotone operators. As a consequence we establish surjectivity, and we obtain, in particular, results for the existence of zeroes of some class of set-valued operators. Furthermore, by strengthening the continuity assumption on the operator, we deduce its surjectivity without any monotonicity ass...