An interpolation of polynomials with application to some Volterra operator pencils

• Autorzy: Tsedenbayar D. , Batnasan D. , Hadhuu L.
• Języki publikacji: EN

Słowa kluczowe

EN

Volterra operator; Laguerre polynomials

PL

operator Volterry; wielomiany Laguerre'a

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2010
• Tom: Vol. 32
• Strony: 91--94
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Tsedenbayar D.

autor

Batnasan D.

autor

Hadhuu L.

• Mongolian University of Science and Technology Department of Mathematics P.O.Box 46/520, Ulaanbaatar, Mongolia,

Bibliografia

• [1] G. R. Allan, Power-bounded elements and radical Banach algebras, in: Linear Operators, J. Janas, F. H. Szafraniec and J. Zem_anek (eds.), Banach Center Publ. 38, Inst. Math., Polish Acad. Sci., 1997, 9-16.
• [2] J. Esterle, Quasimultipliers, representation of H1, and the closed ideal problem for commutative Banach algebras, in: Radical Banach Algebras and Automatic Continuity (Long Beach, CA 1981), J. M. Bachar, W. G. Bade, P. C. Curtis Jr., H. G. Dales and M. P. Tomas (eds.), Lecture Notes in Math. 975, Springer, 1983, 66-162.
• [3] P. R. Halmos, A Hilbert Space Problem Book, Van Nostrand, Princeton, 1967.
• [4] E. Hille, Remarks on ergodic theorems, Trans. Amer. Math. Soc. 57 (1945), 246-269.
• [5] W. Magnus and F. Oberhettinger, Formulas and Theorems for the Functions of Mathematical Physics, Chelsea, New York, 1954.
• [6] A. Montes-Rodriguez, J. Sanchez-Alvarez and J. Zemanek, Uniform Abel-Kreiss boundedness and the extremal behaviour of the Volterra operator, Proc. London Math. Soc. (3) 91 (2005), 761-788.
• [7] O. Nevanlinna, Convergence of the Iterations for Linear Equations, Birkhauser, 1993.
• [8] D. Tsedenbayar, On the power boundedness of the certain Volterra operator pencils, Studia Math. 156 (2003), 59-66.
• [9] D. Tsedenbayar and J. Zemanek Polynomials in the Volterra and Ritt operators, in: Topological Algebras, thier Applications, and Related Topics, K. Jarosz and A. Sołtysiak (eds.), Banach Center Publ. 67, Inst. Math., Polish Acad. Sci., (2005), 385-390.