Journals / Ikonion Journal of Mathematics / 2019 / Cilt: 1 - Sayı: 2

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

Pages
46–54
Publication Date
2019-10-16
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

In this paper, formulas are given both for the operator norm and for the extension of a linear functionaldefined on a linear subspace of a Hilbert space and the results are illustrated with examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, formulas are given both for the operator norm and for the extension of a linear functionaldefined on a linear subspace of a Hilbert space and the results are illustrated with examples.
📊
Key Findings & Data:In this paper, formulas are given both for the operator norm and for the extension of a linear functionaldefined on a linear subspace of a Hilbert space and the results are illustrated with examples.
💡
Conclusion & Impact:In this paper, formulas are given both for the operator norm and for the extension of a linear functionaldefined on a linear subspace of a Hilbert space and the results are illustrated with examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Linear functional · Cauchy-Schwarz inequality · norm

Abstract

In this paper, formulas are given both for the operator norm and for the extension of a linear functionaldefined on a linear subspace of a Hilbert space and the results are illustrated with examples.

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Cite This Article

ÇELİK, 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, Cilt: 1 - Sayı: 2, 46–54. https://ajindex.com/articles/764553

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References (3)

  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