On Generalized Morse-Transue Function Spaces
Keyword(s):
Marston Morse and William Transue (6, 8) have introduced and studied function spaces, called MT-spaces, for which the elements of the topological dual are of integral type. Their theory does not admit certain classical Banach function spaces including spaces of bounded functions and spaces. The theory of function spaces determined by a length function (λ-spaces) (4, 5), which depends on a fixed measure, admits many of the maximal MT-spaces, the spaces and spaces of locally integrable functions but does not admit certain maximal MT-spaces including the space of complex continuous functions with compact supports.
1997 ◽
Vol 151
(1)
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pp. 166-176
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2012 ◽
Vol 2012
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pp. 1-10
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1965 ◽
Vol 68
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pp. 646-657
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2007 ◽
Vol 62
(5)
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pp. 173-180
2012 ◽
Vol 61
(3)
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pp. 883-900
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2015 ◽
Vol 67
(3)
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pp. 357-371
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Keyword(s):
2011 ◽
Vol 285
(2-3)
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pp. 136-149
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