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Semigroup product formulas and addition of unbounded operators
Author:
Paul R. Chernoff
Journal:
Bull. Amer. Math. Soc. 76 (1970), 395-398
MSC (1970):
Primary 4748, 4750; Secondary 8147
MathSciNet review:
0257808
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Paul
R. Chernoff, Note on product formulas for operator semigroups,
J. Functional Analysis 2 (1968), 238–242. MR 0231238
(37 #6793)
- 2.
William
G. Faris, The product formula for semigroups defined by Friedrichs
extensions, Pacific J. Math. 22 (1967), 47–70.
MR
0215132 (35 #5975)
- 3.
Einar
Hille and Ralph
S. Phillips, Functional analysis and semi-groups, American
Mathematical Society Colloquium Publications, vol. 31, American
Mathematical Society, Providence, R. I., 1957. rev. ed. MR 0089373
(19,664d)
- 4.
Edward
Nelson, Feynman integrals and the Schrödinger equation,
J. Mathematical Phys. 5 (1964), 332–343. MR 0161189
(28 #4397)
- 5.
H.
F. Trotter, On the product of semi-groups of
operators, Proc. Amer. Math. Soc. 10 (1959), 545–551. MR 0108732
(21 #7446), http://dx.doi.org/10.1090/S0002-9939-1959-0108732-6
- 1.
- P. R. Chernoff, Note on product formulas for operator semigroups, J. Functional Analysis 2 (1968), 238-242. MR 37 #6793. MR 231238
- 2.
- W. G. Faris, The product formula for semigroups defined by Friedrichs extensions, Pacific J. Math. 22 (1967), 47-70. MR 35 #5975. MR 215132
- 3.
- E. Hille and R. S. Phillips, Functional analysis and semigroups, rev. ed., Amer. Math Soc. Colloq. Publ., vol. 31, Amer. Math. Soc., Providence, R. I., 1957. MR 19, 664. MR 89373
- 4.
- E. Nelson, Feynman integrals and the Schrödinger equation, J. Math. Phys. 5 (1964), 332-343. MR 28 #4397. MR 161189
- 5.
- H. F. Trotter, On the product of semigroups of operators, Proc. Amer. Math. Soc. 10 (1959), 545-551. MR 21 #7446. MR 108732
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12489-2
PII:
S 0002-9904(1970)12489-2
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