Dergiler / Ikonion Journal of Mathematics / 2019 / Volume: 1 Issue: 2

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

Halil İbrahim Çelik(Marmara Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü)0000-0003-1696-435X
Sayfa
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Yayın Tarihi
2019-10-16
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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 functional defined on a linear subspace of a Hilbert space and the results are illustrated with examples.

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Bu Makaleye Atıf Yap

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, Volume: 1 Issue: 2. https://ajindex.com/articles/1492828

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Kaynakça (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