On a theorem of Titchmarsh-Neumark-Walter concerning absolutely continuous operators

Letters in Mathematical Physics - Tập 1 Số 1 - Trang 57-66 - 1975
Peter Rejto1
1School of Mathematics, University of Minnesota, 55455, Minn, Minneapolis, USA

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Tài liệu tham khảo

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IkebeT., Arch. Rat. Mech. Anal. 5, 1 (1960).

KatoT., Math. Ann. 162, 258 (1966). See conclusions (d) and (1.6) of Theorem 1.5.

Rejto, P.A., in C.P. Enz and J. Mehra (eds.), Physical Reality and Mathematical Description, Reidel Publishing Co., 1974, 202. See Appendix.

Rejto, P.A., ?On a Theorem of Titchmarsh-Neumark-Walter Concerning Absolutely Continuous Operators?. I: The Abstract Part, this issue, p. 49.

Rejto, P.A., Univ. Geneva. Tech. Rep. (1975) version of [5]. See Lemma 3.3.

Rejto, P.A., On a Theorem of Titchmarsh-Neumark-Walter Concerning Absolutely Continuous Operators. II: The estimates. Univ. Geneva. Tech. Rep., 1975.

Kato, T., Perturbation Theory for Linear Operators. Springer Verlag, 1966.

Schechter, Martin, Principles of Functional Analysis, Academic Press, 1971.

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Bourbaki, Espaces Vectoriels Topologiques. See Theorem 1, Chap. 1. 2.

Simon, Barry, Quantum Mechanics for Hamiltonians Defined as Quadratic Forms, Princeton University Press, 1971.

Rejto, P.A., On the Resolvents of a Family of Non-Self-Adjoint Operators.

Rejto, P.A. and Sinha, K.B., Absolute Continuity for a 1-Dimensional Model of the Stark-Hamiltonian.