Article citationsMore>>

Kadison, R.V. and Ringrose, J.R. (1997) Fundamentals of the Theory of Operator Algebras. Vol. I. Elementary Theory. Graduate Studies in Mathematics, 15. American Mathematical Society, Providence, RI.

has been cited by the following article:

• TITLE: On Some Properties of the Norm of the Spectral Geometric Mean

  AUTHORS: Xiangrui Kong

  KEYWORDS: Kubo-Ando Means, Spectral Geometric Mean, Geometric Mean, C*-Algebra

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.12, December 21, 2022

  ABSTRACT: In this paper, we consider the norms related to spectral geometric means and geometric means. When A and B are positive and invertible, we have ||A-1#B|| ≤ ||A-1σsB||. Let H be a Hilbert space and B(H) be the set of all bounded linear operators on H. Let A ∈ B(H). If ||A#X|| = ||AσsX||, ?X ∈ B(H)++, then A is a scalar. When is a C*-algebra and for any , we have that ||logA#B|| = ||logAσsB||, then is commutative.