Abstract

Marston Morse and William Transue (4; 5; 6) have developed a theory of seminormed Banach spaces of complex or real-valued functions called MT spaces. For E a locally compact space, the space of real-valued functions on E, and K the space of real-valued functions on E with compact supports, a real MT space A is a vector subspace of containing K and provided with a suitable seminorm NA.

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