THE ε∞-PRODUCT OF A b-SPACE BY A QUOTIENT BORNOLOGICAL SPACE
نویسنده
چکیده
We define the ε∞-product of a Banach space G by a quotient bornological space E | F that we denote by Gε∞(E | F ), and we prove that G is an L∞-space if and only if the quotient bornological spaces Gε∞(E | F ) and (GεE) | (GεF ) are isomorphic. Also, we show that the functor .ε∞. : Ban× qBan −→ qBan is left exact. Finally, we define the ε∞-product of a b-space by a quotient bornological space and we prove that if G is an εb-space and E | F is a quotient bornological space, then (GεE) | (GεF ) is isomorphic to Gε∞(E | F ).
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