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Weakly analytic sets for function spaces

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Abstract

We define and study weakly analytic sets for function spaces. This concept generalizes the concept of weak analyticity for function algebras. We also define weak analyticity for the space of affine functions using the ideas of convexity. We show that it coincides with the same concept regarding it as a function space. We give several examples to illustrate the concepts.

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Authors and Affiliations

  1. Department of Mathematics, Sardar Patel University, 388 120, Vallabh Vidyanagar, Gujrat, India

    H S Mehta & R D Mehta

Authors
  1. H S Mehta
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  2. R D Mehta
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Dedicated to Prof. M. H. Vasavada on his 60th birthday

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Mehta, H.S., Mehta, R.D. Weakly analytic sets for function spaces. Proc. Indian Acad. Sci. (Math. Sci.) 107, 277–282 (1997). https://doi.org/10.1007/BF02867259

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  • DOI: https://doi.org/10.1007/BF02867259

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