• THE PRODUCT SPAN OF SUM SPAN OF A SUBSET OF A COMPLETELY BOUNDED ARTEX SPACE OVER A BI-MONOID

K. MUTHUKUMARAN*

Abstract


When Sum Combination is introduced, it was introduced only for a finite subset of an Artex Space A over a bi-monoid M. Now the sum span for any subset of a completely bounded Artex space over a bi-monoid is defined.    When Product Combination is introduced, it was introduced only for a finite subset of an Artex Space over a bi-monoid. Now the Product span for any subset of a completely bounded Artex space over a bi-monoid is defined. The product span of sum span of a subset of a completely bounded artex space over a bi-monoid is defined. Propositions were found and proved.


Keywords


Bi-monoids, Artex Spaces over bi-monoids, Completely Bounded Artex Spaces over bi-monoids, Sum Combination, Sum Span, Product Combination, Product Combination, Product Span of Sum Span.

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