Sentence examples for closed operators from inspiring English sources

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We give a sufficient condition for the sum of two closed operators to be closed.

We show that certain non-Fock quantum boson stochastic integrals are canonically defined as closed operators.

The second one is concerned with the closedness of the sum of two closed operators in a Hilbert space.

Let ({A beta )}_{0 le beta < B}) be a family of closed operators with (E_0) a simple isolated eigenvalue of (A_0 equiv A(0)).

Let ({A beta )}_{0< beta < B}) (or (beta ) in a sector) be a family of closed operators in a Banach space, X.

Then, unbounded Riemann measurable operators are defined as the closed operators on H which are affiliated to A″ and can be approximated in measure by operators in AR, in analogy with unbounded Riemann integration.

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A is a closed operator.

Then Φ ( B ) is a closed operator with dense domain.

It implies that is also a closed operator.

A is said to be a semi-closed 1-set-contractive operator, if I -A is closed operator (see [2]).

Since is a closed operator and, is a fixed point of.

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