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An operator T ∈ L(H) is said to be skew complex symmetric if there exists a conjugation C on H such that T = −CT∗C. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators.
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참고문헌 (28)
참고문헌 신청
B. F. Madore / / Subspace hypercyclicity
C. G. Li / 2013 / Skew symmetric normal operators / Proc. Amer. Math. Soc 141 (8) : 2755 ~ 2762
C. Sun / 2010 / Property (w1) and Weyl type theorem / J. Math. Anal. Appl 363 (1) : 1 ~ 6
I. J. An / 2013 / Weyl type theorems for 2×2 operator matrices / Ph.D. / Kyung Hee Univ
J. B. Conway / 1990 / A Course in Functional Analysis / Springer Verlag
C. G. Li / 2013 / Skew symmetric normal operators / Proc. Amer. Math. Soc 141 (8) : 2755 ~ 2762
C. Sun / 2010 / Property (w1) and Weyl type theorem / J. Math. Anal. Appl 363 (1) : 1 ~ 6
I. J. An / 2013 / Weyl type theorems for 2×2 operator matrices / Ph.D. / Kyung Hee Univ
J. B. Conway / 1990 / A Course in Functional Analysis / Springer Verlag
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