Properties of polynomially Riesz operators on some Banach spaces

被引:4
|
作者
Dehici A. [1 ]
Boussetila N. [2 ]
机构
[1] Department of Sciences, University center of Souk-Ahras, Souk-Ahras 41000
[2] Applied Math Lab, BM-Annaba University, Annaba 23000
关键词
Fredholm perturbations; hereditarily indecomposable Banach spaces; Riesz operators; Smyth decomposition; West decomposition;
D O I
10.1134/S1995080211010021
中图分类号
学科分类号
摘要
The purpose of this paper is to investigate some properties of polynomially Riesz operators acting on some Banach spaces, moreover a partially positive answer to the M.R.F. Smyth's [29] conjecture is given. © 2011 Pleiades Publishing, Ltd.
引用
收藏
页码:39 / 47
页数:8
相关论文
共 50 条
  • [42] ON SOME ORDER PROPERTIES OF RIESZ SPACES AND THEIR RELATIONS
    LUXEMBURG, WA
    ARCHIV DER MATHEMATIK, 1968, 19 (05) : 488 - +
  • [43] CARLEMAN OPERATORS IN RIESZ SPACES
    GROBLER, JJ
    VANELDIK, P
    PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1983, 86 (04): : 421 - 433
  • [44] Riesz transform and g-function associated with Bessel operators and their appropriate Banach spaces
    Jorge J. Betancor
    Juan Carlos Fariña
    Teresa Martínez
    José Luis Torrea
    Israel Journal of Mathematics, 2007, 157 : 259 - 282
  • [45] Some approximation properties of Banach spaces and Banach lattices
    Figiel, Tadeusz
    Johnson, William B.
    Pelczynski, Aleksander
    ISRAEL JOURNAL OF MATHEMATICS, 2011, 183 (01) : 199 - 231
  • [46] Some approximation properties of Banach spaces and Banach lattices
    Tadeusz Figiel
    William B. Johnson
    Aleksander Pełczyński
    Israel Journal of Mathematics, 2011, 183
  • [47] Riesz transform and g-function associated with Bessel operators and their appropriate Banach spaces
    Betancor, Jorge J.
    Farina, Juan Carlos
    Martinez, Teresa
    Torrea, Jose Luis
    ISRAEL JOURNAL OF MATHEMATICS, 2007, 157 (01) : 259 - 282
  • [48] INVARIANT SUBSPACES OF POLYNOMIALLY COMPACT OPERATORS ON BANACH SPACE
    BERNSTEIN, AR
    PACIFIC JOURNAL OF MATHEMATICS, 1967, 21 (03) : 445 - +
  • [49] Limited p-converging operators and relation with some geometric properties of Banach spaces
    Dehghani, Mohammad B.
    Moshtaghioun, Seyed M.
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2021, 62 (04): : 417 - 430
  • [50] On Geometrical Properties of Some Banach Spaces
    Simsek, Necip
    Savas, Ekrem
    Karakaya, Vatan
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (01): : 295 - 300