Subadditivity Inequalities for Compact Operators
2014 ◽
Vol 57
(1)
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pp. 25-36
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Keyword(s):
AbstractSome subadditivity inequalities for matrices and concave functions also hold for Hilbert space operators, but (unfortunately!) with an additional ε term. It does not seem possible to erase this residual term. However, in case of compact operators we show that the ε term is unnecessary. Further, these inequalities are strict in a certain sense when some natural assumptions are satisfied. The discussion also emphasizes matrices and their compressions and several open questions or conjectures are considered, both in the matrix and operator settings.
2018 ◽
Vol 14
(4)
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pp. 382-386
Keyword(s):
2004 ◽
Vol 133
(6)
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pp. 1727-1731
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1991 ◽
Vol 34
(2)
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pp. 260-264
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1981 ◽
Vol 22
(8)
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pp. 1619-1622
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2009 ◽
Vol 80
(1)
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pp. 83-90
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2005 ◽
Vol 79
(3)
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pp. 391-398
2012 ◽
Vol 436
(5)
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pp. 1516-1527
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