Sentence examples for positive compact from inspiring English sources

Given two self-adjoint, positive, compact operators A,B on a separable Hilbert space, we show that there exists a self-adjoint, positive, compact operator C commuting with B such that limt→∞|| eBt2eAteBt2)1t−eC| eBt2eAteBt2

(1.3) with (f u)=u^{p}) based on the Schauder fixed point theorem for positive, compact operators.

We give a necessary and sufficient condition on a positive compact operatorTfor the existence of a singular trace (i.e. a trace vanishing on the finite rank operators) which takes a finite non-zero value onT.

−A generates an exponentially stable positive compact semigroup (T t)) ((tgeq0)) in E. Assume that (f:mathbb{R}times Krightarrow K) is continuous and (f t,x)) is ω-periodic in t.

Since is a strongly positive compact endomorphism of and has nonempty interior, we have from Amann [15, Theorem ] that the set in [14, Theorem ] reduces to a single point.

Our main results are as follows: Let E be an ordered Banach space, whose positive cone K is a normal cone, (A : D(A) subset Erightarrow E) be a closed linear operator, and −A generate an exponentially stable positive compact semigroup (T t)) ((tgeq0)) in E, that is, (nu_{0}<0).

In transduced primary neurons, only poly-GA expression gives rise to p62-positive compact cytoplasmic inclusions.

where is a strongly positive linear compact operator on with the spectral radius, satisfies as locally uniformly in.

Let us consider functions positive with compact support on continuous except in 0 equal to near 0 with.

Also shown is that ress(T) ϵσess(T) for positive AM-compact operators.

and where is Laplace operators and is a self-adjoint positive operators with compact inverse.