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Title

THE METRIC SPACE OF H-VARIETIES AND IT’S CONVEX STRUCTURE

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Abstract

 IT HAS SHOWN THAT, THE SET OF ALL VARIETIES OF BANACH ALGEBRASL IS A METRIC SPACE AND THE SET OF ALL H-VARIETIES OF BANACH ALGEBRAS LH IS ALSO A METRIC SPACE AS A SUBSPACE OF L. IN THIS ARTICLE CONVEXITY OF LH HAS INVESTIGATED AND THE CONVEX STRUCTURE ON THIS SPACE HAS INTRODUCED. IN ADDITION, SOME CONVEX SUBSETS OF LH HAS BEEN MENTIONED.

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