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On λ-compact operators

Author

Listed:
  • Manjul Gupta

    (IIT Kanpur)

  • Antara Bhar

    (IIT Kanpur)

Abstract

Using the duality theory of sequence spaces, we study in this paper λ-compact operators defined on Banach spaces, corresponding to a sequence space λ. We show that these operators form a quasi-normed operator ideal under suitable restrictions on λ. We also study the relationships of these operators with λ-summing, λ-nuclear and quasi-λ-nuclear operators. The results of this paper generalize the earlier results proved by Sinha and Karn; and also Delgado, Piñeiro and Serrano.

Suggested Citation

  • Manjul Gupta & Antara Bhar, 2013. "On λ-compact operators," Indian Journal of Pure and Applied Mathematics, Springer, vol. 44(3), pages 355-374, June.
    • Handle: RePEc:spr:indpam:v:44:y:2013:i:3:d:10.1007_s13226-013-0018-7
    DOI: 10.1007/s13226-013-0018-7
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