NATIONAL BIBLIOGRAPHY NUMBER
Number
۲۱۹۳۸پ
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.Language of Text, Soundtrack etc
per
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Title Proper
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Parallel Title Proper
Inequalities for commutators of positive operators
First Statement of Responsibility
/نگار امام گویجه سلطان
.PUBLICATION, DISTRIBUTION, ETC
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: علوم ریاضی
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، ۱۳۹۸
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، راشدی
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۵۳ص
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چاپی - الکترونیکی
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ریاضی محض گرایش جبر آنالیز
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۱۳۹۸/۰۶/۱۱
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تبریز
SUMMARY OR ABSTRACT
Text of Note
for every unitarily invariant norm. For the usual operator norm, these norm inequalities hold without the compactness conditions, and in this case the first two norm inequalities are the same. Our inequalites include and improve upon earlier inequalities proved in this context, and they seen natural enough and applicable to be widely useful |||X X||| 6 1 2 A |||AX XA||| for every unitarily invariant norm. Moreover, if X is positive, then the singular values of the commutator AX XA are dominated by those of 1 2 A(X X). Consequently, |||X|||6 max(A, B) |||AX XB||| . It is also shown that if A and B are positive and X is compact, then|||A B||| 6 X |||AX XB||| we have ,|||.||| It is shown that if A,B and X are operators on a complex separable Hilbert space such that A and B are compact and positive, then the singular values of the generalized commutator AX XA are dominated by those of X(A B), where . is the usual operator norm. Consequently, for every unitarily invariant norm
PARALLEL TITLE PROPER
Parallel Title
Inequalities for commutators of positive operators
PERSONAL NAME - PRIMARY RESPONSIBILITY
امام گویجه سلطان، نگار
Emami Goyjesoltan, Negar
ELECTRONIC LOCATION AND ACCESS
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نمایهسازی قبلی
