Sentence examples for bounded operators on a from inspiring English sources
We will use the following notations: If r01< r11, then by the same method used for the formal power series in [2], we can see that each point of Ω1 is a bounded point evaluation on L p. Note that for the algebra B X) of all the bounded operators on a Banach space X, the weak operator topology is the one such that A α → A in the weak operator topology if and only if A α x → Ax weakly, x ∈ X.
Let B(H) be the bounded operators on a Hubert space H.
Which bounded operators on a separable complex Hilbert space have a pth root?
An operator algebra is a uniformly closed algebra of bounded operators on a Hilbert space.
In fact, it can be shown that any C*-algebra is isomorphic to a (norm-closed, self-adjoint) algebra of bounded operators on a Hilbert space.
Let R be a linear subset of the space B(H) of bounded operators on a Hilbert space H with an orthonormal basis.
By contrast, the set of bounded operators on an infinite-dimensional separable Hilbert space, a type-I∞ factor, is not modular; rather, it is only orthomodular.
The paper studies the existence of closed invariant subspaces for a Lie algebra L of bounded operators on an infinite-dimensional Banach space X.
This is a substantial shift since the most important class of algebra of observables for quantum mechanics was thought at the time to be the set of bounded operators on an infinite-dimensional separable Hilbert space, which is a type-I∞ factor.
