대한수학회지 (Journal of the Korean Mathematical Society)

  • 제48권6호
  • /
  • Pages.1125-1142
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  • 2011
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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SEQUENCE SPACES OF OPERATORS ON l2

  • Rakbud, Jitti (Department of Mathematics Faculty of Science Silpakorn University) ;
  • Ong, Sing-Cheong (Department of Mathematics Central Michigan University)
  • 투고 : 2009.08.30
  • 발행 : 2011.11.01
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초록

In this paper, we define some new sequence spaces of infinite matrices regarded as operators on $l_2$ by using algebraic properties of such the matrices under the Schur product multiplication. Some of their basic properties as well as duality and preduality are discussed.

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참고문헌

  1. G. Bennett, Schur multipliers, Duke Math. J. 44 (1977), no. 3, 603-639. https://doi.org/10.1215/S0012-7094-77-04426-X
  2. P. Chaisuriya and S.-C. Ong, Absolute Schur algebras and unbounded matrices, SIAM J. Matrix Anal. Appl. 20 (1999), no. 3, 596-605. https://doi.org/10.1137/S0895479897330005
  3. I. E. Leonard, Banach sequence spaces, J. Math. Anal. Appl. 54 (1976), no. 1, 245-265. https://doi.org/10.1016/0022-247X(76)90248-1
  4. L. Livshits, S.-C. Ong, and S.-W. Wang, Banach space duality of absolute Schur algebras, Integral Equations Operator Theory 41 (2001), no. 3, 343-359.
  5. S.-C. Ong, On the Schur multiplier norm of matrices, Linear Algebra Appl. 56 (1984), 45-55. https://doi.org/10.1016/0024-3795(84)90112-5
  6. J. Schur, Bemerkungen Theorie der beschranken Bilinearformen mit unendlich vielen Verander lichen, J. Reine Angew. Math. 140 (1911), 1-28.

피인용 문헌

  1. Spectrum localizations for matrix operators on lp spaces vol.249, 2014, https://doi.org/10.1016/j.amc.2014.10.071
  2. Duality decompositions of some matrix sequence spaces pp.1793-7183, 2018, https://doi.org/10.1142/S1793557119500487