Add to ORKGConsider a unital Banach algebra A having the NC property: that 1 − A + 1 ⊆ A + 1 . Then | h | σ = ||h|| (h ∈ A+). Any unital hermitian Banach ∗-algebra with this property is therefore C ∗ -equivalent
Let $ (A,| cdot |) $ be a real Banach algebra, a complex algebra $ A_mathbb{C} $ be a complexificati...
AbstractLet n>1 be an integer, f∈Cn[a,b], and A:C[a,b]→R a continuous linear functional which annihi...
AbstractIn this work we prove a theorem which shows that a Cesáro matrix of order α>−1 is a bounded ...
AbstractWe shall prove the inequalities|||(A+B)(A+B)∗|||⩽|||AA∗+BB∗+2AB∗|||⩽|||(A-B)(A-B)∗+4AB∗|||fo...
AbstractLet T∈B(H) be an invertible operator with polar decomposition T=UP and B∈B(H) commute with T...
We obtain inequalities of Abel type but for nondecreasing sequences rather than the usual nonincreas...
AbstractWe prove the generalized Hyers–Ulam–Rassias stability of Lie ∗-homomorphisms in Lie C∗-algeb...
We show that for many families of OPUC, one has ‖φ'_n‖2/n → l, a condition we call normal behavior. ...
AbstractWe establish sufficient conditions for obtaining a strong converse inequality of type B in t...
AbstractWe show that the set of conditionally convergent real series considered with Cauchy product ...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
AbstractLet σ(n) be the sum of the positive divisors of n, and let A(t) be the natural density of th...
Let C be the unit circle {z: |z| = 1} and Qn(z) bean arbitrary C-polynomial (i. e., all its zeros z1...
AbstractWrite μ(A)=μ1(A)⩾⋯⩾μmin(A) for the eigenvalues of a Hermitian matrix A. Our main result is:L...
Let $ (A,| cdot |) $ be a real Banach algebra, a complex algebra $ A_mathbb{C} $ be a complexificati...
AbstractLet n>1 be an integer, f∈Cn[a,b], and A:C[a,b]→R a continuous linear functional which annihi...
AbstractIn this work we prove a theorem which shows that a Cesáro matrix of order α>−1 is a bounded ...
AbstractWe shall prove the inequalities|||(A+B)(A+B)∗|||⩽|||AA∗+BB∗+2AB∗|||⩽|||(A-B)(A-B)∗+4AB∗|||fo...
AbstractLet T∈B(H) be an invertible operator with polar decomposition T=UP and B∈B(H) commute with T...
We obtain inequalities of Abel type but for nondecreasing sequences rather than the usual nonincreas...
AbstractWe prove the generalized Hyers–Ulam–Rassias stability of Lie ∗-homomorphisms in Lie C∗-algeb...
We show that for many families of OPUC, one has ‖φ'_n‖2/n → l, a condition we call normal behavior. ...
AbstractWe establish sufficient conditions for obtaining a strong converse inequality of type B in t...
AbstractWe show that the set of conditionally convergent real series considered with Cauchy product ...
In this paper refinements and converses of matrix forms of the geometric-arithmetic mean inequality ...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
AbstractLet σ(n) be the sum of the positive divisors of n, and let A(t) be the natural density of th...
Let C be the unit circle {z: |z| = 1} and Qn(z) bean arbitrary C-polynomial (i. e., all its zeros z1...
AbstractWrite μ(A)=μ1(A)⩾⋯⩾μmin(A) for the eigenvalues of a Hermitian matrix A. Our main result is:L...
Let $ (A,| cdot |) $ be a real Banach algebra, a complex algebra $ A_mathbb{C} $ be a complexificati...
AbstractLet n>1 be an integer, f∈Cn[a,b], and A:C[a,b]→R a continuous linear functional which annihi...
AbstractIn this work we prove a theorem which shows that a Cesáro matrix of order α>−1 is a bounded ...