Aldril Wekesa Wanambisi

Characterization of Compact Operators in Pre-Hilbert and Hilbert Spaces

Achiles Nyongesa Simiyu, Hillary Amonyela Isabu & Aldril Wekesa Wanambisi · Journal of Advances in Mathematics and Computer Science · 2022

The concept of a compact operator on a Hilbert space, H is an extension of the concept of a matrix acting on a finite-dimensional vector space. In Hilbert space, compact operators are precisely the closure of finite rank operators in the topology induced by the operator norm. In...