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Bulletin of the American Mathematical Society

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Nonassociative addition of unbounded operators and a problem of Brezis and Pazy


Author: Paul R. Chernoff
Journal: Bull. Amer. Math. Soc. 78 (1972), 562-563
MSC (1970): Primary 47B25, 47H99; Secondary 47D05
DOI: https://doi.org/10.1090/S0002-9904-1972-13001-5
MathSciNet review: 0303343
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References [Enhancements On Off] (What's this?)

  • 1. H. Brezis and A. Pazy, Semigroups of nonlinear contractions on convex sets, J. Functional Analysis 6 (1970), 237-281. MR 448185
  • 2. P. R. Chernoff, Note on product formulas for operator semigroups, J. Functional Analysis 2 (1968), 238-242. MR 37 #6793. MR 231238
  • 3. P. R. Chernoff, Semigroup product formulas and addition of unbounded operators, Bull. Amer. Math. Soc. 76 (1970), 395-398. MR 41 #2457. MR 257808
  • 4. T. Kato, Perturbation theory for linear operators, Die Grundlehren der math. Wissenschaften, Band 132, Springer-Verlag, New York, 1966. MR 34 #3324. MR 203473
  • 5. H. F. Trotter, On the product of semi-groups of operators, Proc. Amer. Math. Soc. 10 (1959), 545-551. MR 21 #7446. MR 108732

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DOI: https://doi.org/10.1090/S0002-9904-1972-13001-5

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