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CLASSES AND SPACES OF ULTANOV TYPE. I. A CLASS <p( 1)
1989
Demonstratio Mathematica
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Orlioz olasses and spaces L* and L^ are well known. The basic properties of these classes ( is a <|>-function). In present paper and in [6] we investigate a class cp(l) ( = with the topology of Ul'yanov type (here 1 with real terms for whieh «pi^) < 00 . In the sequel, we shall use the following notations. By A we denote the class of all sequences (i^)]^ in which ^ = 0 for almost all k, by o 0 -the class of all sequences tending to zero and by s -the class of all sequences. By x,y,z,... we
doi:10.1515/dema-1989-0113
fatcat:ujczq5tkzzh2ndmosbzgguqn3u