Geodesic
Matrix transformations between certain new sequence spaces over ultrametric fields
Filomat, Tome 36 (2022) no. 18, p. 6359

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DOI

Throughout the present paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. Sequences, infinite series and infinite matrices have their entries in K. The sequence spaces m λ , c λ , c λ 0 were introduced in K earlier by the author in [8–10] and some studies were made. The purpose of the present paper is to characterize the matrix classes (c λ 0 , c µ 0), (c λ 0 , m µ), (c λ 0 , c µ) and (c λ , c µ 0).
DOI : 10.2298/FIL2218359N
Classification : 40C05, 40D05, 40H05, 46S10
Keywords: Ultrametric (or non-archimedean) field, matrix class, characterization, the sequence spaces mλ, cλ and cλ0 
P N Natarajan. Matrix transformations between certain new sequence spaces over ultrametric fields. Filomat, Tome 36 (2022) no. 18, p. 6359 . doi: 10.2298/FIL2218359N
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     author = {P N Natarajan},
     title = {Matrix transformations between certain new sequence spaces over ultrametric fields},
     journal = {Filomat},
     pages = {6359 },
     year = {2022},
     volume = {36},
     number = {18},
     doi = {10.2298/FIL2218359N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2218359N/}
}
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