Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We consider Wiener type algebras on an open Banach ball. In particular, we prove that such algebras consist of functions analytic in this ball. We also consider a property of one-parameter groups generated by an isometric group acting on a Banach ball. We establish that the subspace of exponential type vectors of its generators form a dense subalgebra in a Wiener algebra and a generator is a derivation on this subspace.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
5--17
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- Cracow University of Technology, Institute of Mathematics, 24 Warszawska Str, Cracow, Poland, adambed@usk.pk.edu.pl
Bibliografia
- [1] A. Bednarz, O. Lopushansky, Exponential type vectors of isometric group generators, Matematychni Studii 18 (2002), 1.
- [2] M. Dmytryshyn, O. Lopushansky, Operator calculus on the exponential type vectors of the operator with point spectrum [in:] General Topology in Banach Spaces, Nova Sci. Publ., Huntingon, New York, 2001.
- [3] S. Dineen, Complex Analysis on Infinite Dimensional Spaces, Springer-Verlag, Berlin Heidelberg, 1998.
- [4] M. Dmytryshyn, O. Lopushansky, Hilbert spaces of analytic functions of infinitely many variables, Ann. Polon. Math. 81 (2003) 2, 111–122.
- [5] T.W. Gamelin, Analytic Functions on Banach Spaces [in:] Complex potential theory, NATO Adv. Sci. Inst. Ser. C. Math. Phys. Sci. vol. 439, Kluwer Acad. Publ. 1994.
- [6] A. Grothendieck, Resume de la theorie metrique des produits tensorels topologiques, Bol. Soc. Math. Sao Paulo 8 (1953), 1–79.
- [7] M. Herve, Analyticity in Infiite Dimensional Spaces, de Gruyter Stud. in Math., vol. 10, Walter de Gruyter, Berlin, New York, 1989.
- [8] M. Reed, B. Simon, Methods of modern mathematical physics. vol. 2. Academic Press, 1975.
- [9] Ya. Radyno, The vectors of exponential type in operators calculus and differential equations, Diferencialnye Urawnienija 21 (1985) 9, 1559–1569 (in Russian).
- [10] K. Yosida, Functional Analysis, Springer-Verlag, Berlin Heidelberg, 1965.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH9-0002-0001