논문KCI 등재
SEQUENCE SPACES OF OPERATORS ON l_2
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
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.
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.
참고문헌 (6)
- G. Bennett, "Schur multipliers", Duke Math. J, 44(3), pp.603~639 (1977)
- P. Chaisuriya, "Absolute Schur algebras and unbounded matrices", SIAM J. Matrix Anal. Appl, 20(3), pp.596~605 (1999)
- I. E. Leonard, "Banach sequence spaces", J. Math. Anal. Appl, 54(1), pp.245~265 (1976)
- L. Livshits, "Banach space duality of absolute Schur algebras", Integral Equations Operator Theory, 41(3), pp.343~359 (2001)
- S.-C. Ong, "On the Schur multiplier norm of matrices", Linear Algebra Appl, 56, pp.45~55 (1984)
- J. Schur, "Bemerkungen Theorie der beschranken Bilinearformen mit unendlich vielen Verander lichen", J. Reine Angew. Math, 140, pp.1~28 (1911)
관련 논문AI추천
Duality of Paranormed Spaces of Matrices Defining Linear Operators from lp into lqKamonrat Kamjornkittikoon경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호Certain sequence spaces and related duals with respect to the $b$-metricUgur Kadak대한수학회 · 대한수학회논문집2016 · 제31권 제2호SCHATTEN CLASSES OF MATRICES IN A GENERALIZED B(l2)Jitti Rakbud, Pachara Chaisuriya대한수학회 · 대한수학회지2010 · 제47권 제1호Compact matrix operators between the spaces m(Ø), n(Ø) and l_pEberhard Malkowsky, Mohammad Mursaleen대한수학회 · 대한수학회보2011 · 제48권 제5호Matrix transformations and compact operators on the binomial sequence spacesMustafa Cemil Bisgin강원경기수학회 · 한국수학논문집2019 · 제27권 제4호SOME DIFFERENCE SEQUENCE SPACES OF INFINITE MATRIX AND ORLICZ FUNCTIONCHARU SHARMA, Kuldip Raj장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호
이 간행물의 다른 논문 (11건)
TRANSFORMATION OF LOCAL BIFURCATIONS UNDER COLLOCATION METHODSAndrew Foster, Melusi Khumalopp. 1101-1123EXISTENCE OF PERIODIC SOLUTIONS FOR PLANAR HAMILTONIAN SYSTEMS AT RESONANCE김용인pp. 1143-1152SPATIAL DECAY BOUNDS OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS FOR TRANSIENT COMPRESSIBLE VISCOUS FLOWYan Liu, Hua Qiu, Changhao Linpp. 1153-1170HEIGHT BOUND AND PREPERIODIC POINTS FOR JOINTLY REGULAR FAMILIES OF RATIONAL MAPS이종규pp. 1171-1187ALMOST PRINCIPALLY SMALL INJECTIVE RINGSYueming Xiangpp. 1189-1201