A unified approach to abstract linear nonautonomous parabolic equations
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Rendiconti del Seminario Matematico della Università di Padova
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Rendiconti del Seminario Matematico della Università di Padova
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We recall from [9] the definition and properties of an algebra cone C of a real or complex Banach algebra A. It can be shown that C induces on A an ordering which is compatible with the algebraic structure of A. The Banach algebra A is then called an ordered Banach algebra. An important property that the algebra cone C may have is that of normality. If C is normal, then the order structure and the topology of A are reconciled in a certain way. Ordered Banach algebras have interesting...
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