Ditkin's condition and ideals with at most countable hull in algebras of functions analytic in the unit disc

• Autorzy: Sołtysiak A. , Wawrzyńczyk A.
• Języki publikacji: EN

Słowa kluczowe

EN

closed ideals; Banach algebra; Ditkin's condition

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2012
• Tom: Vol. 52, [Z] 1
• Strony: 101--112
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Sołtysiak A.

autor

Wawrzyńczyk A.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University ul. Umultowska 87, 61-614 Poznań, Poland,

Bibliografia

• [1] C. Agrafeuil and M. Zarrabi, Closed ideals with countable hull in algebras of analytic functions smooth up to the boundary, Publ. Mat. 52 (2008), 19-56.
• [2] A. Atzmon, Operators which are annihilated by analytic functions and invariant subspaces, Acta Math. 144 (1980), 27-63.
• [3] J. Esterle, E. Strouse, and F. Zcmakia, Closed ideals of A+ and the Cantor set, J. reine angew. Math. 449 (1994), 65-79.
• [4] V. M. Falvysevskii, The structure of the ideals of certain algebras of analytic functions, (Russian), Doki. Akad. Nauk SSSR 211 (1973), 537-539; translation in: Soviet Math. Dokl. 14 (1973), 1067-1070.
• [5] V.M. Faivysevskil, Spectral synthesis in Banach algebras of functions analytic in the disc, (Russian), Funktsional. Anal, i Priloźen. 8(3) (1974), 85-86; translation in: Functional Anal. Appl. 8 (1974), 268-269.
• [6] J.E. Gale, P. J. Miana, and J. J. Royo, Estimates of the Laplace transform on convolution Sobolev algebras, J. Approx. Theory 164 (2012), 162-178.
• [7] J.E. Gale and A. Wawrzyńczyk, Standard ideals in weighted algebras of Korenblyum and Wiener types, Math. Scand. 108(2) (2011), 291-319.
• [8] K. Hoffman, Banach Spaces of Analytic Functions, Dover Publications, Inc., New York, 1962.
• [9] B. I. Korenblyum, Closed ideals of the ring An, (Russian), Funktsional. Anal, i Prilożen. 6(3) (1972), 38-52; translation in: Functional Anal. Appl. 6 (1972), 203-214.
• [10] A. Soltysiak and A. Wawrzyńczyk, Ideals with at most countable hull in certain algebras of functions analytic in the half-plane, submitted
• [11] W. Żelazko, Banach Algebras, Elsevier Publ. Co. and PWN, Amsterdam, Warszawa 1973.