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Dergiler / Turkish Journal of Mathematics / 2002 / Cilt: 26 - Sayı: 3

On locally pre-C* -algebra structures in locally m-convex H*-algebras

A. El KINANI
Sayfa
263–271
Yayın Tarihi
2022-11-05
DOI
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Examples and applications are provided.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We endow any locally m-convex $H^ast$ -algebra ( E,$tau$ ) with a locally pre-$C^ast$-topology weaker than $tau$.
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Temel Bulgular & Veri:We endow any locally m-convex $H^ast$ -algebra ( E,$tau$ ) with a locally pre-$C^ast$-topology weaker than $tau$.
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Sonuç & Katkı:Examples and applications are provided.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

We endow any locally m-convex $H^ast$ -algebra ( E,$tau$ ) with a locally pre-$C^ast$-topology weaker than $tau$. Examples and applications are provided.

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Bu Makaleye Atıf Yap

KINANI, A. E. (2022). On locally pre-C* -algebra structures in locally m-convex H*-algebras. Turkish Journal of Mathematics, Cilt: 26 - Sayı: 3, 263–271. https://ajindex.com/articles/608872

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Kaynakça (8)

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  2. Bonsall, F. F. and Duncan, J.: Complete normed algebras, Ergebrise der Mathematik Band 80, Springer Verlag (1973)
  3. Fragoulopoulou, M.: Symmetric Topological -Algebras. Applications, Schriftenreihe des Mathematischen Instituts und des Graduiertenkollegs der Universit¨at M¨unster, 3 serie, Heft 9 (1993)
  4. Haralampidou, M.: On locally convex H-algebras, Math. Japonica 38, 451-460, (1993)
  5. Hirschfeld, R. A.: On Hilbertizable Banach algebras. Bull. Soc. Math. Belg. 25, 331-333, (1973)
  6. Mallios, A.: Topological Algebras. Selected Topics, North -Holland, Amsterdam, 1986
  7. Michael, E. A.: Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc. 11(1952). (Reprinted 1968)
  8. Tsertos, Y.: Representations and extensions of positive functionals on -algebras; Boll. UMI 7, 541-555, (1994).