Strictly singular operator
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In functional analysis, a branch of mathematics, a strictly singular operator is a bounded linear operator L from a Banach space X to another Banach space Y, such that it fails to be an isomorphism on any subset of X. Any compact operator is strictly singular, but not vice-versa.[1]
References
- ^ N.L. Carothers, A Short Course on Banach Space Theory, (2005) London Mathemaitcal Society Student Texts 64, Cambridge University Press.