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Sets of sequences that are strongly r-bounded and matrix transformations between these sets

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EN
In this paper we are giving some new properties of the operator of first-difference mapping a space sr into itself and we are dealing with the spaces sr(A h) and sr((A+) ). Next are given some properties of the spaces wr^(A,//),
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Strony
155--171
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
  • LMAH Universite du Havre I.U.T., B.P 4006, Le Havre, France
Bibliografia
  • [1] A. F. Andersen, Summation of nonintegral order, Mat. Tidsskr. B. (1946) 33-52.
  • [2] R. Labbas, B. de Malafosse, On some Banach algebra of infinite matrices and applications, Demonstratio Math. 31 (1998), 153-168.
  • [3] I. J. Maddox, Infinite Matrices of Operators, Springer-Verlag, Berlin, Heidelberg and New York, 1980.
  • [4] B. de Malafosse, Systèmes linéaires infinis admettant une infinité de solutions, Atti dell' Accademia Peloritana dei Pericolanti di Messina, Classe I di Scienze Fis. Mat. e Nat. Vol. 65 (1986), 49-59.
  • [5] B. de Malafosse, On the spectrum of the Cesàro operator in the space sr, Faculté des Sciences de l'Université d'Ankara, Series Al Mathematics and statistics Vol 48 (1999), 53-71.
  • [6] B. de Malafosse, Bases in sequence spaces and expansion of a function in a series of power series, Matematicki Vesnik, Vol 52, no 3-4 (2000), 99-112.
  • [7] B. de Malafosse, Properties of some sets of sequences and application to the spaces of bounded difference sequences of order μ, Hokkaido Math. J. Vol. 31 (2002), 283-299.
  • [8] B. de Malafosse, Recent results in the infinite matrix theory and application to Hill equation, Demonstratio Math. 35 (2002), 11-26.
  • [9] B. de Malafosse, E. Malkowsky, Sequence spaces and inverse of an infinite matrix, Rend, del Circ. Mat. di Palermo. Vol. 51 (2002), 277-294.
  • [10] E. Malkowsky, BK spaces, bases and linear operators, Rend, del Circ. Mat. Di Palermo. Serie II. Suppl. 52 (1998), 177-191.
  • [11] E. Malkowsky, Linear operators in certain BK spaces, Bolyai Mathematical Studies, S, Approximation Theory and Function Series Budapest (Hungary), 1995, Budapest (1996).
  • [12] E. Malkowsky, S. D. Parashar, Matrix transformations in spaces of bounded and convergent difference sequences of order m, Analysis 17 (1997), 87-97.
  • [13] H. Mascart, B. de Malafosse, Systèmes linéaires infinis associés à des séries entières, Accademia Peloritana dei Pericolanti di Messina, Classe I di Scienze Pis. Mat. e Nat. Vol. 64 (1988), 25-29.
  • [14] F. Moricz, On Λ-strong convergence of numerical sequences and Fourier series, Acta Math. Hung. 54 (3-4) (1989), 319-327.
  • [15] A. Wilansky, Summability through Functional Analysis, North-Holland Mathematics Studies 85, 1984.
  • [16] K. Zeller, W. Beckmann, Theory der Limitierungs verfahren, Springer-Verlag Berlin Heidelberg New York, 1970.
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bwmeta1.element.baztech-article-PWA3-0006-0016
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