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Elements of the Theory of Linear Volterra Operators in Banach Spaces

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Abstract.

The new definition of Volterra operator introduced in [5] allows specification of the classical theory of linear equations in Banach spaces to equations with such operators. Here we specially address relations between properties of the given linear equation with Volterra operator and properties of its conjugate. As well we treat the theory of Noetherian and Fredholm equations.

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  1. Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, 84105, Israel

    Elena Litsyn

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  1. Elena Litsyn
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Correspondence to Elena Litsyn.

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Litsyn, E. Elements of the Theory of Linear Volterra Operators in Banach Spaces. Integr. equ. oper. theory 58, 239–253 (2007). https://doi.org/10.1007/s00020-007-1485-1

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  • DOI: https://doi.org/10.1007/s00020-007-1485-1

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