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On some properties of Segal algebras and their multipliers

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Abstract

Let A and B be Banach algebras such that A is a right abstract Segal algebra in B. We investigate some properties of A and B and show how these are related to the algebras of right multipliers on A and B.

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References

  1. G.F. Bachelis: Homomorphisms of annihilator Banach algebras. Pac. J. Math. 25 (1968) 229–247

    Google Scholar 

  2. B.A. Barnes: Banach algebras which are ideals in a Banach algebra. Pac. J. Math. 38(1971) 1–7

    Google Scholar 

  3. P. Civin and B. Yood: The second conjugate space of a Banach algebra as an algebra. Pac. J. Math. 11(1961) 847–870

    Google Scholar 

  4. N. Dunford and J.T. Schwartz: Linear operators, Part I, Interscience Publishers, New York, 1958

    Google Scholar 

  5. S.L. Gulick: Commutativity and ideals in the biduals of topological algebras. Pac. J. Math. 18(1966) 121–137

    Google Scholar 

  6. E. Hewitt and K.A. Ross: Abstract harmonic analysis, Vol. II, Springer-Verlag, 1970

  7. I. Kaplansky: Dual rings. Annals Math. 49(1948) 689–701

    Google Scholar 

  8. M. Leinert: A contribution to Segal algebras. Manuscripta Math. 10(1973) 297–306

    Google Scholar 

  9. L. Máté: The Arens product and multiplier operators. Studia Math. 28(1967) 227–234

    Google Scholar 

  10. T. Ogasawara and K. Yoshinaga: Weakly completely continuous Banach*-algebras. J. Sch. Hiroshima Univ. Sci. A 18(1954) 15–36

    Google Scholar 

  11. C.E. Rickart: Banach algebras, Van Nostrand, New York, 1960

    Google Scholar 

  12. B.J. Tomiuk: Structure theory of complemented Banach algebras. Can. J. Math. 14(1962) 651–659

    Google Scholar 

  13. — and P.K. Wong: Annihilator and complemented Banach*-algebras. J. Austr. Math. Soc. 13(1971) 47–66

    Google Scholar 

  14. —: Multipliers and duality in A*-algebras. Proc. Amer. Math. Soc. 50(1975) 281–288

    Google Scholar 

  15. —: Multipliers on Banach algebras. Studia Math. 54(1976) 267–283

    Google Scholar 

  16. B.J. Tomiuk and B. Yood: Topological algebras with dense socle. J. Functl. Anal. 28(1978) 254–277

    Google Scholar 

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Tomiuk, B.J. On some properties of Segal algebras and their multipliers. Manuscripta Math 27, 1–18 (1979). https://doi.org/10.1007/BF01297734

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  • DOI: https://doi.org/10.1007/BF01297734

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