- Ikonion Journal of Mathematics
- Vol: 1 Issue: 2
- Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hi...
Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space
Authors : Halil Ibrahim Çelik
Pages : 46-54
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Publication Date : 2019-10-16
Article Type : Research
Abstract :In this paper, formulas are given both for the operator norm and for the extension of a linear functional defined on a linear subspace of a Hilbert space and the results are illustrated with examples.Keywords : Linear functional, Cauchy-Schwarz inequality, norm, operator norm, Hilbert spaces, Hahn-Banach theorem, Riesz representation theorem, orthogonal vectors, orthogonal decomposition