Remarks on an operator Wielandt Inequality
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Let A be a positive operator on a Hilbert space H with 0 < m ⤠A ⤠M, and let X and Y be isometries on H such that X*Y = 0, p > 0, and Φ be a 2-positive unital linear map. Define Î = (Φ(X*AY )Φ(Y*AY )^(â1)Φ(Y*AX)^p Φ(X*AX)^(âp). Several upper bounds for (1/2) |Î + Î*| are established. These bounds complement a recent result on the operator Wielandt inequality.
2012 ◽
Vol 2012
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pp. 1-12
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1984 ◽
Vol 98
(1-2)
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pp. 69-88
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2016 ◽
Vol 31
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pp. 87-99
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2018 ◽
Vol 154
(6)
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pp. 1131-1158
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