Dergiler / Turkish Journal of Mathematics / 2006 / Cilt: 30 - Sayı: 2

On Uniform Hermitian p-Normed Algebras

Sayfa
221–231
Yayın Tarihi
2022-11-05
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We show that the completion of a uniform hermitian p-normed algebra is a commutative C*-algebra.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We show that the completion of a uniform hermitian p-normed algebra is a commutative C*-algebra.
📊
Temel Bulgular & Veri:We show that the completion of a uniform hermitian p-normed algebra is a commutative C*-algebra.
💡
Sonuç & Katkı:We show that the completion of a uniform hermitian p-normed algebra is a commutative C*-algebra.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:algebra involution · p-norm · uniform algebra

Özet

We show that the completion of a uniform hermitian p-normed algebra is a commutative C*-algebra.

Abstract

We show that the completion of a uniform hermitian p-normed algebra is a commutative C*-algebra.

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Bu Makaleye Atıf Yap

KINANI, A. E. (2022). On Uniform Hermitian p-Normed Algebras. Turkish Journal of Mathematics, Cilt: 30 - Sayı: 2, 221–231. https://ajindex.com/articles/608702

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Kaynakça (8)

  1. Bonsall, F.F. and Duncan, J.: Complete normed algebras. Springer-Verlag 1973
  2. Bhatt, S. J. and Karia, D. J.: Uniqueness of the uniform norm with an application to topological algebras. Proc. Amer. Math. Soc. 116, 499-503, (1992)
  3. Bhatt, S. J.: A seminorm with square property on a Banach algebra is submutiplicative, Proc. Amer. Math. Soc. 117, 435-438, (1993)
  4. Dedania, H. V.: A seminorm with square property is automatically submultiplicative, Proc. Indian Acad. Sci. (Math. Sci.), 108(1998), 51-53
  5. El Kinani, A.: On p-seminorms with square property, (preprint)
  6. Mallios, A.: Topological algebras, Selected topics, North Holland. 1986
  7. Pt`ak, V.: Banach algebras with involution, Manuscripta Math. 6, 245-290, (1972)
  8. Xia Dao-Xing (Hsia.Tao-Hsing), On locally bounded topological algebras. Acta Math. Sinica 14 N0 2 (1964). Engl. Ubers. Chinese-Math. 5 N ¨ 0 2, 261-276. (1964).