Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space

Authors : Halil İbrahim ÇELİK

Pages : 46-54

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Publication Date : 2019-10-16

Article Type : Research Paper

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