It is known that the square of a ω-hyponormal operator is also ω-hyponormal. In this note it is showed that these exists an invertible operator which is not log-hyponormal but its integer powers are all ω-hyponorma...It is known that the square of a ω-hyponormal operator is also ω-hyponormal. In this note it is showed that these exists an invertible operator which is not log-hyponormal but its integer powers are all ω-hyponormal. MR Subject Classification 47B20 - 47A63 Keywords Lowner-Heinz inequality - ω-hyponormal - Furuta inequality Supported by Natural Science and Education Foundation of Henan Province.展开更多
基金Supported by Natural Science and Education Foundation of Henan Province
文摘It is known that the square of a ω-hyponormal operator is also ω-hyponormal. In this note it is showed that these exists an invertible operator which is not log-hyponormal but its integer powers are all ω-hyponormal. MR Subject Classification 47B20 - 47A63 Keywords Lowner-Heinz inequality - ω-hyponormal - Furuta inequality Supported by Natural Science and Education Foundation of Henan Province.
