In this note, a small gap is corrected in the proof of H.K. Xu [Theorem 3.3, A regularization method for the proximal point algorithm, J. Glob. Optim. 36, 115–125 (2006)], and some strict restriction… (More)

For any λ ≥ 1, Rλ is Banaś-Fra̧czek space, the exact value of the Jordan–von Neumann constant CNJ(Rλ) is investigated. By careful calculations, CNJ(Rλ) = 2− 1 λ2 is given.

Ground-state properties of the attractive Hubbard model in one dimension are studied by means of both the exact Bethe-ansatz formalism and the self-consistent field ~SCF! approach with renormalized… (More)

LetT be a bounded linear operator on a complex Hilbert space H. In this paper, we show that ifT belongs to class wF (p, r, q) operators, then we have (i) T ∗X = XN∗ whenever TX = XN for someX ∈ B(H),… (More)

Recently Takahashi has introduced James type constant. In this paper, we will introduce some new properties of the constant such as monotonicity, uniform non-squareness characterized by James type… (More)

Firstly, we will show the following extension of the results on powers of p-hyponormal and log-hyponormal operators: let n and m be positive integers, if T is p-hyponormal for p ∈ (0,2], then: (i) in… (More)

In this paper, we will show some improvements of Heron mean and the refinements of Young's inequalities for operators and matrices with a different method based on others' results.

This paper is to discuss powers of class wF (p, r, q) operators for1 ≥ p > 0, 1 ≥ r > 0 andq ≥ 1; and an example is given on powers of class wF (p, r, q) operators.

and Applied Analysis 3 Theorem 5. If A n ≫ A n−1 ≫ ⋅ ⋅ ⋅ ≫ A 2 ≫ A 1 ≫ B and r 1 , r 2 , . . . , r n ≥ 0 for a natural number n. For any fixed δ ≥ 0, let p 1 , p 2 , . . . , p n be satisfied by