The numerical range of an element of a normed algebra
1969 ◽
Vol 10
(1)
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pp. 68-72
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Keyword(s):
Given a normed linear space X, let S(X), X′, B(X) denote respectively the unit sphere {x: ∥x∥ = 1} of X, the dual space of X, and the algebra of all bounded linear mappings of X into X. For each x ∊ S(X) and T ∊ B(X), let Dx(x) = {f e X′:∥f∥ = f(x)= 1}, and V(T; x) = {f(Tx):f∊Dx(x)}. The numerical range V(T) is then defined by
1974 ◽
Vol 76
(3)
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pp. 515-520
Keyword(s):
1966 ◽
Vol 15
(1)
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pp. 11-18
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Keyword(s):
1984 ◽
Vol 96
(3)
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pp. 483-493
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1971 ◽
Vol 69
(3)
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pp. 411-415
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Keyword(s):
Keyword(s):
1971 ◽
Vol 12
(2)
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pp. 110-117
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Keyword(s):
1958 ◽
Vol 9
(4)
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pp. 168-169
Keyword(s):
Keyword(s):
1971 ◽
Vol 12
(3)
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pp. 301-308
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Keyword(s):