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Infinite dimensional orthogonality preserving nonlinear Markov operators.
- Source :
-
Linear & Multilinear Algebra . Mar2021, Vol. 69 Issue 3, p526-550. 25p. - Publication Year :
- 2021
-
Abstract
- In the present paper, we study infinite dimensional orthogonality preserving the second-order nonlinear Markov operators. It is proved that subjectivity of the second-order nonlinear Markov operators is equivalent to the orthogonality preserves in the class of π-Volterra operators. Moreover, a full description of such kind of operators has been found in terms of heredity coefficients. Besides, we are able to represent these operators their canonical forms. Furthermore, some properties of orthogonality preserving the second-order nonlinear operators and their fixed points are studied. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MARKOV operators
*NONLINEAR operators
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 69
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 148981994
- Full Text :
- https://doi.org/10.1080/03081087.2019.1607241