On the algebraic characterizations of right invertible operators of higher degree

• Autorzy: Mau N. , Ngoc L. , Tuan N.
• Języki publikacji: EN

Abstrakty

EN

This paper proves some algebraic charaterizations and Volterra charac- terizations of the generalized right invertible operators of degree k in the case of k is more than or equal to 2. A class of equations induced by generalized right invertible operators of degree of k can be solved in a closed form.

Słowa kluczowe

EN

right invertible operators; algebraic operators; generalized invertible operators; Volterra operators

PL

proste operatory odwracalne; operatory algebraiczne; operatory ogólne; operatory Volterra

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 2
• Strony: 399--409
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Mau N.

autor

Ngoc L.

autor

Tuan N.

• Faculty of Mathematics-Mechanics and Informatics University of Hanoi 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam,

Bibliografia

• [1] D. Przeworska-Rolewicz, Algebraic theory of right invertible operators, Studia Math. 48 (1973), 129-144.
• [2] D. Przeworska-Rolewicz, Algebraic Analysis, PWN - Polish Scientific Publishers and D. Reidel Publishing Company, Warszawa - Dordrecht, 1988.
• [3] Nguyen Van Mau, Boundary value problems and controllability of linear systems with right invertible operators, Dissertationes Math., CCCXVI, Warszawa 1992.
• [4] Nguyen Van Mau, Property of generalized almost inverses, Demonstratio Math., XXV (3), (1992), 493-511.
• [5] Nguyen Van Mau and Nguyen Minh Tuan, Algebraic properties of generalized right invertible operator, Demonstratio Math., XXX (3), (1997), 495-508.
• [6] Z. Binderman, On right inverses for functional shifts, Demonstratio Math., XXXIII (3), (2000), 665-678.