Fractional Powers of Almost Non-Negative Operators
| Data(s) |
27/08/2010
27/08/2010
2005
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| Resumo |
Mathematics Subject Classification: Primary 47A60, 47D06. In this paper, we extend the theory of complex powers of operators to a class of operators in Banach spaces whose spectrum lies in C \ ]−∞, 0[ and whose resolvent satisfies an estimate ||(λ + A)^(−1)|| ≤ (λ^(−1) + λ^m) M for all λ > 0 and for some constants M > 0 and m ∈ R. This class of operators strictly contains the class of the non negative operators and the one of operators with polynomially bounded resolvent. We also prove that this theory may be extended to sequentially complete locally convex spaces. * Work partially supported by Ministerio de Ciencia y Tecnología, Grant BFM2000-1427 and by Generalitat Valenciana, Grant CTIDIB2002-274. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 8, No 2, (2005), 201p-230p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Fractional Powers #Non-Negative Operators #Almost Sectorial Operators #Functional Calculus #Semigroups of Operators #47A60 #47D06 |
| Tipo |
Article |
