OPERATORS WITH NUMERICAL RANGE IN A GIVEN CLOSED HALF PLANE

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Operators with numerical range in a closed halfplane

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‎let $v$ be an $n$-dimensional complex inner product space‎. ‎suppose‎ ‎$h$ is a subgroup of the symmetric group of degree $m$‎, ‎and‎ ‎$chi‎ :‎hrightarrow mathbb{c} $ is an irreducible character (not‎ ‎necessarily linear)‎. ‎denote by $v_{chi}(h)$ the symmetry class‎ ‎of tensors associated with $h$ and $chi$‎. ‎let $k(t)in‎ (v_{chi}(h))$ be the operator induced by $tin‎ ‎text{end}(v)$‎. ‎the...

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ژورنال

عنوان ژورنال: Taiwanese Journal of Mathematics

سال: 2007

ISSN: 1027-5487

DOI: 10.11650/twjm/1500404702