Nonassociative addition of unbounded operators and a problem of Brezis and Pazy. (English) Zbl 0255.47040
MSC:
47H99 | Nonlinear operators and their properties |
47D03 | Groups and semigroups of linear operators |
47B25 | Linear symmetric and selfadjoint operators (unbounded) |
References:
[1] | H. Brezis and A. Pazy, Semigroups of nonlinear contractions on convex sets, J. Functional Analysis 6 (1970), 237 – 281. · Zbl 0209.45503 |
[2] | Paul R. Chernoff, Note on product formulas for operator semigroups, J. Functional Analysis 2 (1968), 238 – 242. · Zbl 0157.21501 |
[3] | Paul R. Chernoff, Semigroup product formulas and addition of unbounded operators, Bull. Amer. Math. Soc. 76 (1970), 395 – 398. · Zbl 0193.42403 |
[4] | Tosio Kato, Perturbation theory for linear operators, Die Grundlehren der mathematischen Wissenschaften, Band 132, Springer-Verlag New York, Inc., New York, 1966. · Zbl 0148.12601 |
[5] | H. F. Trotter, On the product of semi-groups of operators, Proc. Amer. Math. Soc. 10 (1959), 545 – 551. · Zbl 0099.10401 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.