Research Article
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Year 1978, Volume: 27 , - , 01.01.1978
https://doi.org/10.1501/Commua1_0000000279

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  • Communications, Series A1:Mathematics and Statistics

Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences

Year 1978, Volume: 27 , - , 01.01.1978
https://doi.org/10.1501/Commua1_0000000279

Abstract

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.

References

  • Communications, Series A1:Mathematics and Statistics
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Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

E Bulut This is me

Publication Date January 1, 1978
Submission Date January 1, 1978
Published in Issue Year 1978 Volume: 27

Cite

APA Bulut, E. (1978). Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 27. https://doi.org/10.1501/Commua1_0000000279
AMA Bulut E. Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1978;27. doi:10.1501/Commua1_0000000279
Chicago Bulut, E. “Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 27, January (January 1978). https://doi.org/10.1501/Commua1_0000000279.
EndNote Bulut E (January 1, 1978) Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 27
IEEE E. Bulut, “Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 27, 1978, doi: 10.1501/Commua1_0000000279.
ISNAD Bulut, E. “Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 27 (January 1978). https://doi.org/10.1501/Commua1_0000000279.
JAMA Bulut E. Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1978;27. doi:10.1501/Commua1_0000000279.
MLA Bulut, E. “Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 27, 1978, doi:10.1501/Commua1_0000000279.
Vancouver Bulut E. Continuous Operators on Paranormed Spaces and Matrix Transformations of Strong Cesaro Summable Sequences. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1978;27.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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