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A characterization ofC *-algebras via positive operators

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References

  1. F. F.Bonsall and J.Duncan, Numerical ranges of operators on normed spaces and of elements of normed algebras. London Math. Soc. Lecture Notes Ser.2, Cambridge 1971.

  2. P. G. Dixon, Automatic continuity of positive functionals on topological involution algebras. Bull. Austral. Math. Soc.23, 265–281 (1981).

    Google Scholar 

  3. M. S. Espelie, Multiplicative and extreme positive operators. Pacific J. Math.48, 57–66 (1973).

    Google Scholar 

  4. T.Husain, Multiplicative functionals on topological algebras. Research Notes in Mathematics85, Boston 1983.

  5. V. I.Istràtescu, Strict convexity and complex strict convexity. Lecture Notes in Pure and Applied Math., New York 1984.

  6. V. Pták, Banach algebras with involution. Manuscripta Math.6, 245–290 (1972).

    Google Scholar 

  7. H.Render, An order theoretic approach to involutive algebras. To appear in Studia Math. (3)92.

  8. B. Russo andH. A. Dye, A note on unitary operators inC *-algebras. Duke Math. J.33, 413–416 (1966).

    Google Scholar 

  9. H.Schaefer, Topological vector spaces. Graduate Texts in Mathematics3, Berlin-Heidelberg-New York 1971.

  10. Z. Sebestyén, EveryC *-seminorm is automatically submultiplicative. Period. Math. Hungar. (1)10, 1–8 (1979).

    Google Scholar 

  11. A. M.Sinclair, Automatic continuity of linear operators. London Math. Soc. Lectures Notes, Ser.21, Cambridge 1976.

  12. S. Watanabe, Note on positive linear maps of Banach algebras with an involution. Sci. Rep. Niigata Univ. Ser. A,7, 17–21 (1969).

    Google Scholar 

  13. S. Watanabe, Positive linear maps of Banach algebras with an involution. Sci. Rep. Niigata Univ. Ser. A,8, 1–6 (1971).

    Google Scholar 

  14. B. Yood, Continuity for linear maps on Banach algebras. Studia Math.31, 263–268 (1968).

    Google Scholar 

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Render, H. A characterization ofC *-algebras via positive operators. Arch. Math 52, 379–383 (1989). https://doi.org/10.1007/BF01194415

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  • DOI: https://doi.org/10.1007/BF01194415

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