Sentence examples similar to densely closed from inspiring English sources

Thus, this approach can ignore isolated points while gathering points that are densely close to each other.

More generally, if T in the relation above is a densely defined, closed, injective operator with dense image, φ still preserves trace.

Our approach yields an example of a densely defined closed symmetric derivation on a C∗-subalgebras of L(H) whose domain is not closed with respect to the C1-functional calculus.

In the following let S be a densely defined closed symmetric operator in (mathfrak {H}).

Let t be a densely defined closed sectorial sesquilinear form in a Hilbert space ℋ.

Let (Amathcal{D}(A){subset} H{rightarrow } H) be a densely defined, closed linear operator.

Let L be a bounded operator in (mathcal{L}(X)) and M be a densely defined closed operator in X such that (( lambda_{0}M-L ) ^{-1} ) is a compact operator in X.

Applying the continuation theorem, we prove the main results on the solvability of the given semilinear wave equation, with the aid of spectral theory for densely defined closed linear operators.

Let (S_+) and (S_-) be densely defined closed symmetric operators in the separable Hilbert spaces (mathfrak {H}_+) and (mathfrak {H}_-), respectively, and assume that the defect indices of (S_+) and (S_-) satisfy begin{aligned} n_+(S_+)=n_-(S_+)=n_+(S_- =n_-(S_- =n_-ty.

For (0< pdensely defined closed operators x affiliated with (mathcal{M}) such that |x|_{p}=tau bigl(|x|^{p} bigr)^{frac{1}{p}}= biggl( int_{0}^{infty}mu_{t}(x)^{p},dt biggr)^{frac {1}{p}}< infty.

Let t be a non-densely defined closed sectorial sesquilinear form in a Hilbert space ℋ with domain (D t)).