INCLUSION THEOREMS ON MATRIX TRANSFORMATIONS OF SOME SEQUENCE-SPACES OVER NON-ARCHIMEDIAN FIELDS

Authors
SIRAJUDEEN SM SULAIMAN A
Citation
Sm. Sirajudeen et A. Sulaiman, INCLUSION THEOREMS ON MATRIX TRANSFORMATIONS OF SOME SEQUENCE-SPACES OVER NON-ARCHIMEDIAN FIELDS, Indian Journal of Pure and Applied Mathematics, 26(5), 1995, pp. 445-449
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indian Journal of Pure and Applied Mathematics → ACNP
ISSN journal
00195588
Volume
26
Issue
5
Year of publication
1995
Pages
445 - 449
Database
ISI
SICI code
0019-5588(1995)26:5<445:ITOMTO>2.0.ZU;2-6
Abstract
Defining the sequence spaces l(p)(F), l(F), bv(F), Gamma(F) and Gamma (F) over a field F with non-trivial non-archimedian valuation, necessa ry and sufficient conditions have been established for an infinite mat rix A = (a(nk)) defined over such a field F, to transform l(p)(F) and bv(F) into Gamma(F) and Gamma(F).