Dissipative operators on Banach spaces

Journal of Functional Analysis - Tập 248 - Trang 428-447 - 2007
Heybetkulu Mustafayev1
1Yüzüncü Yıl University, Faculty of Art and Sciences, Department of Mathematics, 65080 Van, Turkey

Tài liệu tham khảo

Allan, 1989, Power-dominated elements in a Banach algebra, Studia Math., 94, 63, 10.4064/sm-94-1-63-79 Arveson, 1982, The harmonic analysis of automorphism groups of operator algebras, 199, 10.1090/pspum/038.1/679706 Bollobas, 1973, The spectral decomposition of compact Hermitian operators on Banach spaces, Bull. London Math. Soc., 5, 29, 10.1112/blms/5.1.29 Bonsall, 1970, Hermitian operators on Banach spaces, vol. 5, 65 Bonsall, 1973 Bourbaki, 1967 Browder, 1971, On Bernstein's inequality and the norm of Hermitian operators, Amer. Math. Monthly, 78, 871, 10.2307/2316478 Dunford, 1958 Dunford, 1963 Esterle, 1983, Quasimultipliers, representations of H∞, and the closed ideal problem for commutative Banach algebras, vol. 975, 66 Esterle, 1990, Theorems of Katznelson–Tzafriri type for contractions, J. Funct. Anal., 94, 273, 10.1016/0022-1236(90)90014-C Gorin, 1980, Bernstein's inequality from the point of view of operator theory, Vestn. Khark. Univ., 45, 77 Halmos, 1982 Katznelson, 1970, A conservative operator has norm equal to its spectral radius, Mat. Issled., 5, 186 Katznelson, 1986, On power bounded operators, J. Funct. Anal., 68, 313, 10.1016/0022-1236(86)90101-1 König, 1977, Functional calculus for Hermitian elements of complex Banach algebras, Arch. Math., 28, 422, 10.1007/BF01223945 Larsen, 1973 Levin, 1996, Lectures on Entire Functions, vol. 150 van Neerven, 1996 Pazy, 1983 Phong, 1992, Theorems of Katznelson–Tzafriri type for semigroups of operators, J. Funct. Anal., 103, 74, 10.1016/0022-1236(92)90135-6 Rudin, 1962 Sinclair, 1971, The norm of a Hermitian element in a Banach algebra, Proc. Amer. Math. Soc., 28, 446, 10.1090/S0002-9939-1971-0275164-5 Sinclair, 1972, The Banach algebra generated by a Hermitian operator, Proc. London Math. Soc., 24, 681, 10.1112/plms/s3-24.4.681 Swiech, 1990, Spectral characterization of operators with precompact orbit, Studia Math., 96, 277, 10.4064/sm-96-3-277-282