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Bounded linear non-absolutely summing operators

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Puglisi, D. and Seoane-Sepúlveda, Juan B. (2008) Bounded linear non-absolutely summing operators. Journal of Mathematical Analysis and Applications, 338 (1). pp. 292-298. ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X0700710X


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Abstract

We show that, in certain situations, we have lineability in the set of bounded linear and non-absolutely summing operators. Examples on lineability of the set Pi(p)(E, F) \ I-p(E, F) are also presented and some open questions are proposed.


Item Type:Article
Uncontrolled Keywords:p-Summing operators; p-Integral operators; Lineability
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:20041
Deposited On:21 Feb 2013 15:51
Last Modified:28 Nov 2016 08:12

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