Approximations of Antieigenvalue and Antieigenvalue-Type Quantities
2012 ◽
Vol 2012
◽
pp. 1-15
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Keyword(s):
We will extend the definition of antieigenvalue of an operator to antieigenvalue-type quantities, in the first section of this paper, in such a way that the relations between antieigenvalue-type quantities and their corresponding Kantorovich-type inequalities are analogous to those of antieigenvalue and Kantorovich inequality. In the second section, we approximate several antieigenvalue-type quantities for arbitrary accretive operators. Each antieigenvalue-type quantity is approximated in terms of the same quantity for normal matrices. In particular, we show that for an arbitrary accretive operator, each antieigenvalue-type quantity is the limit of the same quantity for a sequence of finite-dimensional normal matrices.
2017 ◽
Vol 20
(K2)
◽
pp. 107-116
Keyword(s):
Keyword(s):
2012 ◽
Vol 55
(2)
◽
pp. 339-350
◽
1998 ◽
Vol 64
(1)
◽
pp. 119-135
◽