Infinite matrices and σ-core

• Autorzy: Çoşkun H. , Cakan C.
• Języki publikacji: EN

Abstrakty

EN

The object of this paper is to obtain the necessary and sufficient conditions characterizing the class (V, Va)reg of infinite matrices and to determine a class of (V,Va)reg- matrices for which qa(Ax) <: q(x) for all należy do m.

Słowa kluczowe

EN

invariant means; core theorem; regular matrices

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2001
• Tom: Vol. 34, nr 4
• Strony: 825--830
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Çoşkun H.

• Ínönü University Faculty of Education Department of Mathematics 44100-Malatya, Turkey

autor

Cakan C.

• Ínönü University Faculty of Education Department of Mathematics 44100-Malatya, Turkey

Bibliografia

• [1] H. Çoşkun, Invariant means and δ-core, (under communication).
• [2] G. Das, Sublinear functionals and a class of conservative matrices, Bull. Inst. Math. Acad. Sinica 15 (1987), 89-106.
• [3] S. L. Devi, Banach limits and infinite matrices, J. London Math. Soc. 12 (1976), 397-401.
• [4] J. P. Duran, Infinite matrices and almost-convergence, Math. Z. 128 (1972), 75-83.
• [5] G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Math. 80 (1948), 167-190.
• [6] S. L. Mishra, B. Satapathy and N. Rath, Invariant means and δ-core, Jour. Indian. Math. Soc. 60 (1994), 151-158.
• [7] S. L. Mishra, B. Satapathy, Invariant means and infinite matrices, Communicated to Communication, Turkey.
• [8] Mursaleen, On some new invariant matrix methods of summability, Quart. J. Math. Oxford (2), 34 (1983), 77-86.
• [9] C. Orhan, Sublinear functionals and Knopp's core theorem, Internat. J. Math, and Math. Sci. 13 (1990), 461-468.
• [10] R. A. Raimi, Invariant means and invariant matrix methods of summability, Duke Math. J. 30 (1963), 81-94.
• [11] P. Schaefer, Infinite matrices and invariant means, Proc. Amer. Math. Soc. 36 (1972), 104-110.