A short proof of the best possibility for the grand Furuta inequality.
Fujii, Masatoshi, Matsumoto, Akemi, Nakamoto, Ritsuo (1999)
Journal of Inequalities and Applications [electronic only]
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Fujii, Masatoshi, Matsumoto, Akemi, Nakamoto, Ritsuo (1999)
Journal of Inequalities and Applications [electronic only]
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Seo, Yuki (2001)
Journal of Inequalities and Applications [electronic only]
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Furuta, Takayuki (1997)
Journal of Inequalities and Applications [electronic only]
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Yang, Changsen, Gao, Fugen (2006)
Journal of Inequalities and Applications [electronic only]
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Izumino, Saichi, Mori, Hideo, Seo, Yuki (1998)
Journal of Inequalities and Applications [electronic only]
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Fujii, Masatoshi, Jiang, Jian Fei, Kamei, Eizaburo, Tanahashi, Kotaro (1998)
Journal of Inequalities and Applications [electronic only]
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Singh, Maibam Ranjit (1990)
International Journal of Mathematics and Mathematical Sciences
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Mishra, Akshaya Kumar (1989)
International Journal of Mathematics and Mathematical Sciences
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Paweł Głowacki (1982)
Studia Mathematica
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Salah Mecheri (2015)
Colloquium Mathematicae
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Let A ∈ B(H) and B ∈ B(K). We say that A and B satisfy the Fuglede-Putnam theorem if AX = XB for some X ∈ B(K,H) implies A*X = XB*. Patel et al. (2006) showed that the Fuglede-Putnam theorem holds for class A(s,t) operators with s + t < 1 and they mentioned that the case s = t = 1 is still an open problem. In the present article we give a partial positive answer to this problem. We show that if A ∈ B(H) is a class A operator with reducing kernel and B* ∈ B(K) is a class 𝓨 operator,...
Wang, Xiaohuan, Gao, Zongsheng (2010)
Journal of Inequalities and Applications [electronic only]
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Tatsuya Koizumi, Keiichi Watanabe (2013)
Open Mathematics
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We show that Tanahashi’s argument on best possibility of the grand Furuta inequality has an additional consequence.
Furuta, Takayuki (1998)
Journal of Inequalities and Applications [electronic only]
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C. Benhida, E. H. Zerouali (2009)
Studia Mathematica
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Let R and S be two operators on a Hilbert space. We discuss the link between the subscalarity of RS and SR. As an application, we show that backward Aluthge iterates of hyponormal operators and p-quasihyponormal operators are subscalar.