Surjectivity of linear operators from a Banach space into itself

Publisher: Cambridge University Press

E-ISSN: 1755-1633|76|1|143-154

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.76, Iss.1, 2007-08, pp. : 143-154

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Abstract

We show that linear operators from a Banach space into itself which satisfy some relaxed strong accretivity conditions are invertible. Moreover, we characterise a particular class of such operators in the Hilbert space case. By doing so we manage to answer a problem posed by B. Ricceri, concerning a linear second order partial differential operator.