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Authors: MUNEO CHŌ, EUNGIL KO, JI EUN LEE.
DOI: 10.24193/subbmath.2017.2.09
Published Online: 2017-06-15
Published Print: 2017-06-30
pp. 233-248
VIEW PDF: PROPERTIES OF m-COMPLEX SYMMETRIC OPERATORS
In this paper, we study several properties of m-complex symmetric operators. In particular, we prove that if
m-complex symmetric operator and N is a nilpotent operator of order n > 2 with TN = NT, then T +N is a (2n+m-2)-complex symmetric operator. Moreover, we investigate the decomposability of T +A and TA where T is an m-complex symmetric operator and A is an algebraic operator. Finally, we provide various spectral relations of such operators. As some applications of these results, we discuss Weyl type theorems for such operators.Mathematics Subject Classification (2010): 47A11, 47B25.
Keywords: Conjugation, m-complex symmetric operator, nilpotent perturbations, decomposable, Weyl type theorems.
