The chaotic order A ≫ B among positive invertible operators on a Hilbert space is introduced by log A ≥ logB. Related to the Furuta inequality for the chaotic order, Furuta posed the following question: For A;B > 0, A ≫ B if and only if holds for all p ≥ 1, r ≥ t, s ≥ 1 and t ∈ [0,1]? Recently he gave a counterexample to the "only if" part. In our preceding note, we pointed out that the condition (Q) characterizes the operator order A ≥ B. Moreover we showed that (Q) characterizes the chaotic order in some sense. The purpose of this note is to continue our preceding discussion on the operator inequality (Q) under the chaotic order. Among others, we prove that if A ≫ B for A, ...
AbstractIn this paper we characterize operator order A⩾B⩾O and chaotic operator order log A⩾logB for...
Abstract. We showed characterizations of chaotic order via Kantorovich inequality in our previous pa...
The chaotic order among positive invertible operators on a Hilbert space is introduced by . Using...
The chaotic order A ≫ B among positive invertible operators on a Hilbert space is introduced b...
AbstractThe chaotic order A≫B among positive invertible operators A,B>0 on a Hilbert space is introd...
The chaotic order A ≫ B among positive invertible operators on a Hilbert space is introduced b...
The chaotic order A À B among positive invertible operators on a Hilbert space is introduced by logA...
AbstractAs a continuation of preceding notes, we discuss Furuta's inequality under the “chaotic orde...
AbstractThe chaotic order A≫B among positive invertible operators A,B>0 on a Hilbert space is introd...
Abstract. Uchiyama gave a generalization of the grand Furuta inequality and Furuta discussed it base...
AbstractIn this paper we characterize operator order A⩾B⩾O and chaotic operator order log A⩾logB for...
AbstractBy using an extension of the Furuta inequality and following Kosaki's nice technique, we sho...
AbstractAs a continuation of preceding notes, we discuss Furuta's inequality under the “chaotic orde...
is introduced by logA ≥ logB. Using Uchiyama’s method and Furuta’s Kantorovich-type inequality, we w...
Abstract: In this paper we show that the well-known Furuta inequality can be expressed in countable ...
AbstractIn this paper we characterize operator order A⩾B⩾O and chaotic operator order log A⩾logB for...
Abstract. We showed characterizations of chaotic order via Kantorovich inequality in our previous pa...
The chaotic order among positive invertible operators on a Hilbert space is introduced by . Using...
The chaotic order A ≫ B among positive invertible operators on a Hilbert space is introduced b...
AbstractThe chaotic order A≫B among positive invertible operators A,B>0 on a Hilbert space is introd...
The chaotic order A ≫ B among positive invertible operators on a Hilbert space is introduced b...
The chaotic order A À B among positive invertible operators on a Hilbert space is introduced by logA...
AbstractAs a continuation of preceding notes, we discuss Furuta's inequality under the “chaotic orde...
AbstractThe chaotic order A≫B among positive invertible operators A,B>0 on a Hilbert space is introd...
Abstract. Uchiyama gave a generalization of the grand Furuta inequality and Furuta discussed it base...
AbstractIn this paper we characterize operator order A⩾B⩾O and chaotic operator order log A⩾logB for...
AbstractBy using an extension of the Furuta inequality and following Kosaki's nice technique, we sho...
AbstractAs a continuation of preceding notes, we discuss Furuta's inequality under the “chaotic orde...
is introduced by logA ≥ logB. Using Uchiyama’s method and Furuta’s Kantorovich-type inequality, we w...
Abstract: In this paper we show that the well-known Furuta inequality can be expressed in countable ...
AbstractIn this paper we characterize operator order A⩾B⩾O and chaotic operator order log A⩾logB for...
Abstract. We showed characterizations of chaotic order via Kantorovich inequality in our previous pa...
The chaotic order among positive invertible operators on a Hilbert space is introduced by . Using...