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On an intrinsic characterization of self-adjoint $C^\ast $-Segal algebras

Volume 145 / 2016

Subhash J. Bhatt, Prakash A. Dabhi Colloquium Mathematicum 145 (2016), 245-249 MSC: Primary 46H05; Secondary 46K05. DOI: 10.4064/cm6774-4-2016 Published online: 4 July 2016

Abstract

An intrinsic characterization of self-adjoint $C^\ast $-Segal algebras among Banach $\ast $-algebras is obtained in terms of Pták’s spectral function. A connection between order structure in $C^\ast $-Segal algebras and Grothendieck’s well known dual characterization of $C^\ast $-algebras is revealed.

Authors

  • Subhash J. BhattDepartment of Mathematics
    Sardar Patel University
    Vallabh Vidyanagar, 388120, Gujarat, India
    e-mail
  • Prakash A. DabhiDepartment of Mathematics
    Sardar Patel University
    Vallabh Vidyanagar, 388120, Gujarat, India
    e-mail

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