Research Article

ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM

Volume: 5 Number: 2 October 15, 2017
  • Abdelmoumen Tıaıba
EN

ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM

Abstract

In this paper, we study a class of non commutative strongly $l_{p}$-summing sublinear operators and characterize this class of operators by given the extension of the Pietsch domination theorem. Some new properties are shown.

Keywords

References

  1. [1] D. Achour and L. Mezrag, Little Grothendieck's theorem for sublinear operators, J. Math. Anal. Appl. 296 (2004), 541-552.
  2. [2] D. Achour, L. Mezrag and A. Tiaiba, On the strongly $p$-summing sublinear operators,Taiwanesse J. Math. 11 (2007), no. 4, 969-973.
  3. [3] D. Blecher, The standard dual of an operator space, Paci c J. Math. 153 (1992), 15-30.
  4. [4] D. Blecher and V. Paulsen, Tensor products of operator spaces, J. Funct. Anal. 99 (1991), 262-292.
  5. [5] J. S. Cohen, Absolutely p-summing, $p$-nuclear operators and their conjugates, Math. Ann. 201 (1973), 177-200.
  6. [6] E. Effros, Z. J. Ruan, A new approach to operator spaces, Canadian Math. Bull, 34 (1991), 329-337.
  7. [7] L. Mezrag, Comparison of non-commutative 2 and $p$-summing operators from B(l2) into OH, Zeitschrift fürr Analysis und ihre Anwendungen. Mathematical Analysis and its Applications 21 (2002), no. 3, 709-717.
  8. [8] L. Mezrag, On strongly $l_{p}$-summing m-linear operators, Colloquim Mathematicum, 111 (2008), no 1, 59-70.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Abdelmoumen Tıaıba This is me
Algeria

Publication Date

October 15, 2017

Submission Date

October 15, 2017

Acceptance Date

May 31, 2017

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Tıaıba, A. (2017). ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM. Konuralp Journal of Mathematics, 5(2), 160-167. https://izlik.org/JA67HA93UY
AMA
1.Tıaıba A. ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM. Konuralp J. Math. 2017;5(2):160-167. https://izlik.org/JA67HA93UY
Chicago
Tıaıba, Abdelmoumen. 2017. “ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM”. Konuralp Journal of Mathematics 5 (2): 160-67. https://izlik.org/JA67HA93UY.
EndNote
Tıaıba A (October 1, 2017) ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM. Konuralp Journal of Mathematics 5 2 160–167.
IEEE
[1]A. Tıaıba, “ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM”, Konuralp J. Math., vol. 5, no. 2, pp. 160–167, Oct. 2017, [Online]. Available: https://izlik.org/JA67HA93UY
ISNAD
Tıaıba, Abdelmoumen. “ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM”. Konuralp Journal of Mathematics 5/2 (October 1, 2017): 160-167. https://izlik.org/JA67HA93UY.
JAMA
1.Tıaıba A. ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM. Konuralp J. Math. 2017;5:160–167.
MLA
Tıaıba, Abdelmoumen. “ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM”. Konuralp Journal of Mathematics, vol. 5, no. 2, Oct. 2017, pp. 160-7, https://izlik.org/JA67HA93UY.
Vancouver
1.Abdelmoumen Tıaıba. ON A CLASS OF STRONGLY L$_{p}$-SUMMING SUBLINEAR OPERATORS AND THEIR PIETSCH DOMINATION THEOREM. Konuralp J. Math. [Internet]. 2017 Oct. 1;5(2):160-7. Available from: https://izlik.org/JA67HA93UY
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