Sentence examples similar to continuous linear operator on the from inspiring English sources

If is a continuous linear operator on, denote the spectral radius of.

In our case is a continuous linear operator on and is the so-called superposition operator.

In our new research [27] condition (1.4) can be omitted completely thanks to the fruitful features of a continuous linear operator on (mathbb {R}^{n}) which can be regarded as matrices.

Let X be a Banach space and let S be a continuous linear operator on X.

When {T t)} is a C0-semigroup of continuous linear operators on H with the generator G, one of the results is that each T t) is an o.d.

Denote by the space of all continuous linear operators on and by the space of all -bounded linear operators on.

Let H be a Hilbert space, and let B ( H ) denote the continuous linear operators on H.

Let L ( X ) denote the set of all continuous linear operators on X, L 0 ( X ) = { l ∈ L ( X ) : ∀ α ∈ A, ∃ M > 0, ∀ x ∈ X, | l x | α ≤ M | x | α }, and let { S ( t ) } t ≥ 0 be a C 0 -semigroup on X such that S : [ 0, ∞ ) → L 0 ( X ) is locally bounded.

We then consider continuous linear operators on X that have orbits or scaled orbits that are n-weakly dense in X.

It is shown that the second quantization Γ K) for a continuous linear operator K on a certain nuclear space E enjoys an integral representation on the dual space E* with respect to the canonical Gaussian measure μ on E*.

We show that a continuous linear operator T on a Fréchet space satisfies the so-called Hypercyclicity Criterion if and only if it is hereditarily hypercyclic, and if and only if the direct sum T⊕T is hypercyclic.