On λ-compact operators

Manjul Gupta () and Antara Bhar ()
Additional contact information
Manjul Gupta: IIT Kanpur
Antara Bhar: IIT Kanpur

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 3, 355-374

Abstract: 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.

Keywords: Banach sequence spaces; operator ideals; λ-compact sets; λ-summing operators; λ-nuclear operators; quasi λ-nuclear operators. (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-013-0018-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:44:y:2013:i:3:d:10.1007_s13226-013-0018-7

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-013-0018-7

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().