Benard Okelo
Published 2020-04-11Version 1
Let $H$ be a reflexive, dense, separable, infinite dimensional complex Hilbert space and let $B(H)$ be the algebra of all bounded linear operators on $H$. In this paper, we carry out characterizations of norm-attainable operators in normed spaces. We give conditions for norm-attainability of linear functionals in Banach spaces, non-power operators on $H$ and elementary operators. Lastly, we characterize a new notion of norm-attainability for power operators in normed spaces.
The quotient shapes of normed spaces and application
Mappings of preserving $n$-distance one in $n$-normed spaces
The applications of Cauchy-Schwartz inequality for Hilbert modules to elementary operators and i.p.t.i. transformers
![QR code for arXiv:2004.05496 [math.FA]](http://oss.arxitics.com/images/favicon.svg)