Document Zbl 0255.47040

Nonassociative addition of unbounded operators and a problem of Brezis and Pazy. (English) Zbl 0255.47040

Bull. Am. Math. Soc. 78, 562-563 (1972).

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MSC:

47H99	Nonlinear operators and their properties
47D03	Groups and semigroups of linear operators
47B25	Linear symmetric and selfadjoint operators (unbounded)

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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

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