is paper, the concept of a paranormed fi.-space is definede where ? X> 1 is aninteger, and two Banach-Steinhaus type theorems are proved for the sequences of continuous linear ûınctionals on such space. For example, the necessary and sufficient conditions are given for a sequence (A n (x )) of continuous linear functionals to be in the space of generalized entire sequences, for each x belonging to a paranormed fi-speace. These results are then used to characterize the matrix transformations between the strong Cesaro summble sequence space w (p) and the space of generalized entire sequences.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1978 |
Submission Date | January 1, 1978 |
Published in Issue | Year 1978 Volume: 27 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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