Some versions of Anderson's and Maher's inequalities. I.
Mecheri, Salah (2003)
International Journal of Mathematics and Mathematical Sciences
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Mecheri, Salah (2003)
International Journal of Mathematics and Mathematical Sciences
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Mecheri, Salah (2003)
International Journal of Mathematics and Mathematical Sciences
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Lauric, Vasile (2001)
International Journal of Mathematics and Mathematical Sciences
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Mecheri, Salah (2005)
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Boyadzhiev, Khristo N. (2001)
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Albar, Muhammad A., Al-Saleh, Norah (1999)
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Katharina Kühn (2009)
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Schochet, C.L. (1999)
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Mecheri, Salah, Bachir, Ahmed (2002)
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Colojoară, Alexandra (2006)
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2000 Mathematics Subject Classification: Primary 47B47, 47B10; Secondary 47A30. Let H be a separable infinite dimensional complex Hilbert space and let L(H) denote the algebra of all bounded linear operators on H into itself. Given A ∈ L(H), the derivation δA : L(H)→ L(H) is defined by δA(X) = AX-XA. In this paper we prove that if A is an n-multicyclic hyponormal operator and T is hyponormal such that AT = TA, then || δA(X)+T|| ≥ ||T|| for all X ∈ L(H). We establish the...