H^∞-functional calculus for commuting families of Ritt operators and sectorial operators

Functional Calculus for Non-Commuting Operators

H-functional Calculus and Models of Nagy-foiaş Type for Sectorial Operators

We prove that a sectorial operator admits an H∞functional calculus if and only if it has a functional model of NagyFoiaş type. Furthermore, we give a concrete formula for the characteristic function (in a generalized sense) of such an operator. More generally, this approach applies to any sectorial operator by passing to a different norm (the McIntosh square function norm). We also show that th...

H∞-calculus for the Sum of Non-commuting Operators

A recent result of Kalton and Weis is extended to the case of noncommuting operators, employing the commutator condition of Labbas and Terreni, or of Da Prato and Grisvard. Under appropriate assumptions it is shown that the sum of two non-commuting operators admits an H∞-calculus. The main results are then applied to a parabolic problem on a wedge domain.

A Functional Calculus for Pairs of Commuting Polynomially Bounded Operators

A functional calculus valid for the class of absolutely continuous pairs of commuting polynomially bounded operators is defined.

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...