Sentence examples for be a compact operator from inspiring English sources

Let be a cone in a Banach space, and let be a compact operator such that.

Let denote the closed ball in a Banach space and let be a compact operator.

Let ((X,|cdot|)) be a Banach space, and (B: Xrightarrow X) be a compact operator.

Let E be a normed linear space (possibly incomplete) and Φ : E → E be a compact operator.

Let Ω be a convex subset of Banach space E with (thetainOmega), and let (Q: OmegarightarrowOmega) be a compact operator.

If G μ sh was a compact operator then its Frechet derivative D ( G μ sh ) U 0 would also be a compact operator, but it is impossible.

Hence, is a compact operator.

Therefore, is a compact operator.

Consequently, is a compact operator.

Therefore A ˜ is a compact operator.

Hence, K is a compact operator.