AbstractFor Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| is known, where |||·||| is an arbitrary unitarily invariant norm. A refinement of this arithmetic–geometric mean inequality is studied. Similar norm inequalities are indeed established for various natural means for operators such as the logarithmic mean
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
Let A, B be positive operators on a Hilbert space, z any complex number, m any positive integer, and...
AbstractWe use certain norm inequalities for 2×2 operator matrices to establish norm inequalities fo...
AbstractFor Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| ...
Operator means and comparison of their norms: general theory and examples Hideki Kosaki (Kyushu Univ...
AbstractLet T be a Hilbert space operator with T=A+iB, where A and B are Hermitian. We prove sharp i...
AbstractWe give a simple proof of the inequality ⦀ AA∗X + XBB∗ ⦀ ⩾ 2 ⦀ A∗AB ⦀, where A, B, and X are...
Abstract. In this paper we derive some improvements of means inequalities for Hilbert space operator...
AbstractWe present several norm inequalities for Hilbert space operators. In particular, we prove th...
AbstractFor any unitarily invariant norm on Hilbert-space operators it is shown that for all operato...
We present several norm inequalities for Hilbert space operators. In particular, we prove that if A1...
AbstractAn arithmetic-geometric mean inequality for unitarily invariant norms and matrices,2∥A∗XB∥⩽∥...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractIn recent years certain arithmetic–geometric mean and related inequalities for operators and...
AbstractWe extend to larger classes of norms some inequalities concerning sums of positive operators...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
Let A, B be positive operators on a Hilbert space, z any complex number, m any positive integer, and...
AbstractWe use certain norm inequalities for 2×2 operator matrices to establish norm inequalities fo...
AbstractFor Hilbert space operatorsH,K,XwithH,K⩾0 the norm inequality |||H1/2XK1/2|||⩽12|||HX+XK||| ...
Operator means and comparison of their norms: general theory and examples Hideki Kosaki (Kyushu Univ...
AbstractLet T be a Hilbert space operator with T=A+iB, where A and B are Hermitian. We prove sharp i...
AbstractWe give a simple proof of the inequality ⦀ AA∗X + XBB∗ ⦀ ⩾ 2 ⦀ A∗AB ⦀, where A, B, and X are...
Abstract. In this paper we derive some improvements of means inequalities for Hilbert space operator...
AbstractWe present several norm inequalities for Hilbert space operators. In particular, we prove th...
AbstractFor any unitarily invariant norm on Hilbert-space operators it is shown that for all operato...
We present several norm inequalities for Hilbert space operators. In particular, we prove that if A1...
AbstractAn arithmetic-geometric mean inequality for unitarily invariant norms and matrices,2∥A∗XB∥⩽∥...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractIn recent years certain arithmetic–geometric mean and related inequalities for operators and...
AbstractWe extend to larger classes of norms some inequalities concerning sums of positive operators...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
Let A, B be positive operators on a Hilbert space, z any complex number, m any positive integer, and...
AbstractWe use certain norm inequalities for 2×2 operator matrices to establish norm inequalities fo...
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