On a unitary version of Suzuki's exponential product formula

Kazuhiko AOMOTO

doi:10.2969/jmsj/04830493

Kazuhiko AOMOTO

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JOURNAL FREE ACCESS

1996 Volume 48 Issue 3 Pages 493-499

DOI https://doi.org/10.2969/jmsj/04830493

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Published: 1996 Received: January 19, 1994 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) P. R. Chernoff, Note on product formulas for operator semi-groups, J. Funct. Anal., 2 (1968), 238-242.
2) E. Nelson, Analytic vectors, Ann. of Math., 70 (1959), 572-615.
3) E. Nelson, Feynmann Integrals and the Schrödinger Equation, J. Math. Phys., 5 (1964), 332-343.
4) M. Reed and B. Simon, Methods of Modern Mathematical Physics, II, Fourier Analysis, Self-Adjointness, Academic Press, 1975.
5) M. Suzuki, General theory of fractal path integrals with applications to many-body theories and statistical physics, J. Math. Phys., 32 (1991), 400-407.
6) M. Suzuki and T. Yamauchi, Convergence of unitary and complex decompositions of exponential operators, preprint, 1992.
7) M. Suzuki, Convergence of general decompositions of exponential operators, Comm. Math. Phys., 163 (1994), 491-508.
8) H. Trotter, on the product of semi-groups of operators, Proc. Amer. Math. Soc., 10 (1959), 545-551.
9) K. Yosida, Functional Analysis, Springer, 1966.

Right : [1] P. R. Chernoff, Note on product formulas for operator semi-groups, J. Funct. Anal., 2 (1968), 238-242.
[2] E. Nelson, Analytic vectors, Ann. of Math., 70 (1959), 572-615.
[3] E. Nelson, Feynmann Integrals and the Schrödinger Equation, J. Math. Phys., 5 (1964), 332-343.
[4] M. Reed and B. Simon, Methods of Modern Mathematical Physics, II, Fourier Analysis, Self-Adjointness, Academic Press, 1975.
[5] M. Suzuki, General theory of fractal path integrals with applications to many-body theories and statistical physics, J. Math. Phys., 32 (1991), 400-407.
[6] M. Suzuki and T. Yamauchi, Convergence of unitary and complex decompositions of exponential operators, preprint, 1992.
[7] M. Suzuki, Convergence of general decompositions of exponential operators, Comm. Math. Phys., 163 (1994), 491-508.
[8] H. Trotter, on the product of semi-groups of operators, Proc. Amer. Math. Soc., 10 (1959), 545-551.
[9] K. Yosida, Functional Analysis, Springer, 1966.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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