The convex properties and norm bounds for operator matrices involving contractions
Keyword(s):
In this note, the norm bounds and convex properties of special operator matrices ~H(m)n and ~S(m)n are investigated. When Hilbert space K is infinite dimensional, we firstly show that ~H(m)n = ~H(m)n+1 and ~S(m) n = ~S(m)n+1, for m, n = 1,2,.... Then we get that ~H(m) n is a convex and compact set in the ?* topology. Moreover, some norm bounds for ~H(m) n and ~S(m)n are given.
2005 ◽
Vol 2005
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pp. 273-288
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2010 ◽
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pp. 205-230
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2008 ◽
Vol 60
(5)
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pp. 1001-1009
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2004 ◽
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pp. 71-95
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2009 ◽
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pp. 83-90
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pp. 391-398
1969 ◽
Vol 75
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pp. 759-763
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