Fractional Powers of Almost Non-Negative Operators
Martínez, Celso; Sanz, Miguel; Redondo, Antonia
Fractional Calculus and Applied Analysis (2005)
- Volume: 8, Issue: 2, page 201-230
- ISSN: 1311-0454
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topMartínez, Celso, Sanz, Miguel, and Redondo, Antonia. "Fractional Powers of Almost Non-Negative Operators." Fractional Calculus and Applied Analysis 8.2 (2005): 201-230. <http://eudml.org/doc/11289>.
@article{Martínez2005,
abstract = {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) + λm)
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.},
author = {Martínez, Celso, Sanz, Miguel, Redondo, Antonia},
journal = {Fractional Calculus and Applied Analysis},
keywords = {47A60; 47D06},
language = {eng},
number = {2},
pages = {201-230},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Fractional Powers of Almost Non-Negative Operators},
url = {http://eudml.org/doc/11289},
volume = {8},
year = {2005},
}
TY - JOUR
AU - Martínez, Celso
AU - Sanz, Miguel
AU - Redondo, Antonia
TI - Fractional Powers of Almost Non-Negative Operators
JO - Fractional Calculus and Applied Analysis
PY - 2005
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 8
IS - 2
SP - 201
EP - 230
AB - 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) + λm)
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.
LA - eng
KW - 47A60; 47D06
UR - http://eudml.org/doc/11289
ER -
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