EN
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.
defined on a linear subspace of a Hilbert space and the results are illustrated with examples.
Keywords
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
Publication Date
October 16, 2019
Submission Date
November 25, 2019
Acceptance Date
December 18, 2019
Published in Issue
Year 2019 Volume: 1 Number: 2
APA
Çelik, H. İ. (2019). Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space. Ikonion Journal of Mathematics, 1(2), 46-54. https://izlik.org/JA82JB39FE
AMA
1.Çelik Hİ. Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space. ikjm. 2019;1(2):46-54. https://izlik.org/JA82JB39FE
Chicago
Çelik, Halil İbrahim. 2019. “Formulas for the Operator Norm and the Extension of a Linear Functional on a Linear Subspace of a Hilbert Space”. Ikonion Journal of Mathematics 1 (2): 46-54. https://izlik.org/JA82JB39FE.
EndNote
Çelik Hİ (October 1, 2019) Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space. Ikonion Journal of Mathematics 1 2 46–54.
IEEE
[1]H. İ. Çelik, “Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space”, ikjm, vol. 1, no. 2, pp. 46–54, Oct. 2019, [Online]. Available: https://izlik.org/JA82JB39FE
ISNAD
Çelik, Halil İbrahim. “Formulas for the Operator Norm and the Extension of a Linear Functional on a Linear Subspace of a Hilbert Space”. Ikonion Journal of Mathematics 1/2 (October 1, 2019): 46-54. https://izlik.org/JA82JB39FE.
JAMA
1.Çelik Hİ. Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space. ikjm. 2019;1:46–54.
MLA
Çelik, Halil İbrahim. “Formulas for the Operator Norm and the Extension of a Linear Functional on a Linear Subspace of a Hilbert Space”. Ikonion Journal of Mathematics, vol. 1, no. 2, Oct. 2019, pp. 46-54, https://izlik.org/JA82JB39FE.
Vancouver
1.Halil İbrahim Çelik. Formulas for the operator norm and the extension of a linear functional on a linear subspace of a Hilbert Space. ikjm [Internet]. 2019 Oct. 1;1(2):46-54. Available from: https://izlik.org/JA82JB39FE