Abstract
Project Number
Yok
References
- 1) B. Beauzam\i, \emph{Introduction to Banach Spaces and Their Geometry}, North Holland Publishing Com. Inc., Amsterdam, 1982.6)
- 2) B\'{e}la Bollob\'{a}s, \emph{Linear Anaysis}, Cambridge Univ. Press, Cambridge, 1990.
- 3) L. Narici, E. Beckenstein, \emph{The Hahn-Banach theorem: the lifes and times}, Topology and its Applications 77(1997), 193-211
Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space
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
Supporting Institution
Yok
Project Number
Yok
Thanks
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References
- 1) B. Beauzam\i, \emph{Introduction to Banach Spaces and Their Geometry}, North Holland Publishing Com. Inc., Amsterdam, 1982.6)
- 2) B\'{e}la Bollob\'{a}s, \emph{Linear Anaysis}, Cambridge Univ. Press, Cambridge, 1990.
- 3) L. Narici, E. Beckenstein, \emph{The Hahn-Banach theorem: the lifes and times}, Topology and its Applications 77(1997), 193-211
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Project Number | Yok |
| Acceptance Date | December 18, 2019 |
| Publication Date | October 16, 2019 |
| Published in Issue | Year 2019 Volume: 1 Issue: 2 |