The concept of statistical convergence was introduced by Fast [H. Fast, Sur la convergence statistique, Colloq. Math. 2 (1951) 241-244] which was later on studied by many authors. In [J.A. Fridy, C. Orhan, Lacunary statistical convergence, Pacific J. Math. 160 (1993) 43-51], Fridy and Orhan introduc
On spaces in which the norm convergence coincides with the order convergence
β Scribed by B. Z. Vulikh; O. S. Korsakova
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1973
- Tongue
- English
- Weight
- 476 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0001-4346
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Recently, the concept of statistical convergence of double sequences has been studied in intuitionistic fuzzy normed spaces by Mursaleen and Mohiuddine [Statistical convergence of double sequences in intuitionistic fuzzy normed spaces, Chaos, Solitons Fractals, 41 (2009) pp. 2414-2421]. We know that
We extend the Trotter-Kato-Chernoff theory of strong approximation of C 0 semigroups on Banach spaces to operator-norm approximation of analytic semigroups with error estimate. As application we obtain a criterion for the operator-norm convergence of the Trotter product formula on Banach spaces with