SKEW SYMMETRY OF A CLASS OF OPERATORS

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LI CHUN GUANG; ZHOU TING TING

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2014 | Volume:8 | Issue:1 Page(s): 279-294

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Title

SKEW SYMMETRY OF A CLASS OF OPERATORS

Author(s)

LI CHUN GUANG | ZHOU TING TING | Issue Writer Certificate

Keywords

SKEW SYMMETRIC OPERATOR

COMPLEX SYMMETRIC OPERATOR

COMPACT OPERATOR

PARTIAL ISOMETRY

Abstract

An operator T on a complex Hilbert space H is said to be skew symmetric if there exists a conjugate-linear, isometric involution C:H®H such that CTC=-T*. In this paper, using an interpolation theorem related to conjugations, we give a geometric characterization for a class of operators to be skew symmetric. As an application, we get a description of skew symmetric partial isometries.

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APA: Copy

LI, CHUN GUANG, & ZHOU, TING TING. (2014). SKEW SYMMETRY OF A CLASS OF OPERATORS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 8(1), 279-294. SID. https://sid.ir/paper/316987/en

Vancouver: Copy

LI CHUN GUANG, ZHOU TING TING. SKEW SYMMETRY OF A CLASS OF OPERATORS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2014;8(1):279-294. Available from: https://sid.ir/paper/316987/en

IEEE: Copy

CHUN GUANG LI, and TING TING ZHOU, “SKEW SYMMETRY OF A CLASS OF OPERATORS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 8, no. 1, pp. 279–294, 2014, [Online]. Available: https://sid.ir/paper/316987/en

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