Normal extensions of commutative subnormal operators
Normal operators spaces of distributions.
Notes on some spectral radius and numerical radius inequalities
We prove numerical radius inequalities for products, commutators, anticommutators, and sums of Hilbert space operators. A spectral radius inequality for sums of commuting operators is also given. Our results improve earlier well-known results.
N-th roots of a non-negative operator: conditions for uniqueness.
Numerical radius and operator norm inequalities.
Numerical radius inequalities for 2 × 2 operator matrices
We derive several numerical radius inequalities for 2 × 2 operator matrices. Numerical radius inequalities for sums and products of operators are given. Applications of our inequalities are also provided.
Numerical radius inequalities for Hilbert space operators. II
We give several sharp inequalities involving powers of the numerical radii and the usual operator norms of Hilbert space operators. These inequalities, which are based on some classical convexity inequalities for nonnegative real numbers and some operator inequalities, generalize earlier numerical radius inequalities.