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Journals / Turkish Journal of Mathematics / 2001 / Cilt: 25 - Sayı: 2

p-Banach algebras with generalized involution and C-algebra structure

Abdellah EL KINANI
Aziz IFZARNE
Mohamed OUDADESS
Pages
275–282
Publication Date
2022-11-05
DOI
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⚡ TL;DR(Too Long; Didn't Read)

We show that various $C^ast$-like conditions force the algebra to be $C^ast$-algebra under an equivalent norm.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider p-Banach algebras endowed with a generalized involution.
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Key Findings & Data:In this paper, we consider p-Banach algebras endowed with a generalized involution.
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Conclusion & Impact:We show that various $C^ast$-like conditions force the algebra to be $C^ast$-algebra under an equivalent norm.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we consider p-Banach algebras endowed with a generalized involution. We show that various $C^ast$-like conditions force the algebra to be $C^ast$-algebra under an equivalent norm.

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Cite This Article

KINANI, A. E., IFZARNE, A., OUDADESS, M. (2022). p-Banach algebras with generalized involution and C-algebra structure. Turkish Journal of Mathematics, Cilt: 25 - Sayı: 2, 275–282. https://ajindex.com/articles/608873

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References (9)

  1. Beddaa, A. and Oudadess, M., Saturated p-normed algebras and theorems of Gelfand- Namark type. Arab Gulf. J. Scient. Res, 10(1) (1992), 1-12
  2. Birbas, D., Ptak function and symmetery, Rend. Circ. Math. Palermo. 47, (1998), 431-446
  3. Bonsal, F.F. and Duncan J., Complete normed algebras, Ergebrise der Mathematik, Band 80, Springer Verlag (1973)
  4. El Kinani, A., Oudadess, M., Involution generalisee et structure de C -algebres. Rev. Academia de Ciencias. Zaragoza. 52 (1997), 15-16
  5. Ford, J.W.M., A square root lemma for Banach *-algebras. J. London Math. Soc. 42 (1967),521-522
  6. Johnson, B.E., The uniqueness of the complete norm topology. Bull. Amer. Math. Soc. 73(1967), 537-539
  7. Kaplansky, I., Normed algebras. Duke Math. J. 16 (1949), 399-418
  8. Ptak, V., Banach algebras with involution, Manuscripta Math. 6 (1972), 245-290
  9. Zelazko, W., Selected topics on topological algebras. Lecture notes series 31 (1971).