Sentence examples for defined operators from inspiring English sources

sublinear partially defined operators.

We construct a functional calculus, f ↦ f(A |Z), from C(R) into the space of closed, densely defined operators on Z; when X does not contain a copy of c0, this map is defined for arbitrary Borel measurable f.

end{aligned} Analogously are defined operators (T_{2}), (S_{2}^).

Much of the theory of bounded operators extends to the class of closed, densely defined operators.

The other case is concerned with quasibounded densely defined operators satisfying condition ( S ˜ + ), where the degree theory of Kartsatos and Skrypnik [8, 9] for densely defined operators is used.

Moreover, we establish a fine description of the Schechter essential spectrum of a closed densely defined operators.

Let T be a closed, densely defined operator on a Hilbert space H.

where It is obvious that is a densely defined operator.

For example, the Hilbert space adjoint of a closed, densely defined operator is itself a closed densely defined operator.

In this theorem, it is understood that T is an everywhere defined operator on ℋ.

Let be a separable Hilbert space and be a self-adjoint positively defined operator in.