Browse > Article
http://dx.doi.org/10.4134/JKMS.2011.48.6.1125

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)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.6, 2011 , pp. 1125-1142 More about this Journal
Abstract
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.
Keywords
bounded matrix; unbounded matrix; compact matrix;
Citations & Related Records

Times Cited By Web Of Science : 0  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 S.-C. Ong, On the Schur multiplier norm of matrices, Linear Algebra Appl. 56 (1984), 45-55.   DOI   ScienceOn
2 J. Schur, Bemerkungen Theorie der beschranken Bilinearformen mit unendlich vielen Verander lichen, J. Reine Angew. Math. 140 (1911), 1-28.
3 G. Bennett, Schur multipliers, Duke Math. J. 44 (1977), no. 3, 603-639.   DOI
4 P. Chaisuriya and S.-C. Ong, Absolute Schur algebras and unbounded matrices, SIAM J. Matrix Anal. Appl. 20 (1999), no. 3, 596-605.   DOI
5 I. E. Leonard, Banach sequence spaces, J. Math. Anal. Appl. 54 (1976), no. 1, 245-265.   DOI
6 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.