SPECTRUM PROPERTIES OF THE KOOPMAN AND FROBENIUS-PERRON OPERATORS

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MOHSENI MOGHADAM M.

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ISSN: 2588-4824

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2006 | Volume:1 | Issue:1 Page(s): 47-52

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Title

SPECTRUM PROPERTIES OF THE KOOPMAN AND FROBENIUS-PERRON OPERATORS

Author(s)

MOHSENI MOGHADAM M. | Issue Writer Certificate

Keywords

FROBENIUS PERRON OPERATORS

KOOPMAN OPERATORS

Abstract

Consider the measure space (X, A, m). Let S : X®X be a nonsingular transformation on this space and assume that is the Frobenius Perron operator associated with s . Also we will assume that Us is the Koopman operator corresponding to s. Properties of these two operators, namely Ps and Us have been considered by many authors. For more details see [5], [7], [8] and [9]. In this paper we will present some special aspects concerning the spectrum of Ps. Also it is shown that the spectrum of is a cyclic subset of the unit disk D. In connection with the Koopman operator Us it is shown that under certain conditions, if m is a regular measure, then Us from L¥(X) to itself is an isometric.

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APA: Copy

MOHSENI MOGHADAM, M.. (2006). SPECTRUM PROPERTIES OF THE KOOPMAN AND FROBENIUS-PERRON OPERATORS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 1(1), 47-52. SID. https://sid.ir/paper/310257/en

Vancouver: Copy

MOHSENI MOGHADAM M.. SPECTRUM PROPERTIES OF THE KOOPMAN AND FROBENIUS-PERRON OPERATORS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2006;1(1):47-52. Available from: https://sid.ir/paper/310257/en

IEEE: Copy

M. MOHSENI MOGHADAM, “SPECTRUM PROPERTIES OF THE KOOPMAN AND FROBENIUS-PERRON OPERATORS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 1, no. 1, pp. 47–52, 2006, [Online]. Available: https://sid.ir/paper/310257/en

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