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AN IMPROVEMENT OF THE MADDOX THEOREM ON THE MATRIX CLASS (`1(X); c0(Y ))

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초록

A clear-cut characterization of the matrix class (`1(X); c0(Y )) is ob- tained for a very general case.

Abstract

A clear-cut characterization of the matrix class (`1(X); c0(Y )) is ob- tained for a very general case.

참고문헌 (8)

  1. A. Wilansky, "Modern Methods in Topological Vector Spaces" (1978), McGraw-Hill
  2. C. Swartz, "Infinite Matrices and the Gliding Hump" (1996), World Scientific
  3. I.J. Maddox, "Matrix maps of bounded sequences in a Banach space", Proc. Amer. Math. Soc, 63, pp.82~86 (1977)
  4. I.J. Maddox, "Infinite Matrices of Operators. Lecture Notes in Math", pp.786~ (1980), Springer-Verlag
  5. Li Ronglu, "Locally convex spaces containing no copy of c0", J. Math. Anal. Appl, 172, pp.205~211 (1993)
  6. Li Ronglu, "Spaces for which the uniform boundedness principle holds", Studia Sci. Math. Hungar, 27, pp.379~384 (1992)
  7. Li Ronglu, "Operator matrices on topological vector spaces", J. Math. Anal. Appl, 274, pp.645~658 (2002)
  8. P. Antosik, "Matrix Methods in Analysis. Lecture Notes in Math", pp.1113~ (1985), Springer-Verlag

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