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Sahand Communications in Mathematical Analysis، جلد ۱۴، شماره ۱، صفحات ۱۱۷-۱۲۶
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عنوان انگلیسی Some Observations on Dirac Measure-Preserving Transformations and their Results
چکیده انگلیسی مقاله Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac measure space and its measure algebras are presented. Then all of measure spaces that are isomorphic with a Dirac measure space are characterized and the concept of a Dirac measure class is introduced and its elements are characterized. More precisely, it is shown that every absolutely continuous measure with respect to a Dirac measure belongs to the Dirac measure class. Finally, the relation between Dirac measure preserving transformations and strong-mixing is studied.
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نویسندگان مقاله Azadeh Alijani |
Vali-e-Asr University of Rafsanjan, Department of Mathematics, P. O. Box 7713936417, Rafsanjan, Iran.

Zohreh Nazari |
Vali-e-Asr University of Rafsanjan, Department of Mathematics, P. O. Box 7713936417, Rafsanjan, Iran.

نشانی اینترنتی http://scma.maragheh.ac.ir/article_34485_8c88bf3e36a3286401cca14068f4ff4c.pdf
فایل مقاله اشکال در دسترسی به فایل - ./files/site1/rds_journals/2306/article-2306-1532414.pdf
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زبان مقاله منتشر شده en
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