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The character spaces and Šilov boundaries of vector-valued Lipschitz function algebras

Author

Listed:
  • K. Esmaeili

    (Kharazmi (Tarbiat Moallem) University)

  • H. Mahyar

    (Kharazmi (Tarbiat Moallem) University)

Abstract

In this paper, we determine the character spaces and the Šilov boundaries of A-valued Lipschitz algebras Lip α (X, A) and lip α (X, A) when X is a compact metric space, α ∈ (0, 1] and A is a commutative Banach algebta. We then consider the closed subalgebra Lip P (K, A, α) of Lip α (K, A) which is generated by A-valued polynomials on a compact plane set K, and investigate the character space and the Šilov boundary of this subalgebra.

Suggested Citation

  • K. Esmaeili & H. Mahyar, 2014. "The character spaces and Šilov boundaries of vector-valued Lipschitz function algebras," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(6), pages 977-988, December.
    • Handle: RePEc:spr:indpam:v:45:y:2014:i:6:d:10.1007_s13226-014-0099-y
    DOI: 10.1007/s13226-014-0099-y
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