Kazem Haghnejad Azar
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
[ 1 ] - Some notes for topological centers on the duals of Banach algebras
We introduce the weak topological centers of left and right module actions and we study some of their properties. We investigate the relationship between these new concepts and the topological centers of of left and right module actions with some results in the group algebras.
[ 2 ] - On the topological centers of module actions
In this paper, we study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions ${Z}^ell_{B^{**}}(A^{**})$ and ${Z}^ell_{A^{**}}(B^{**})$ with some conclusions in group algebras.
[ 3 ] - Semi-amenability and Connes Semi-amenability of Banach Algebras
Let A be a Banach algebra and X a Banach A-bimodule, the derivation D : A → X is semi-inner if there are ξ, μ ∈ X such that D(a) = a.ξ − μ.a, (a ∈ A). A is called semi-amenable if every derivation D : A → X∗ is semi-inner. The dual Banach algebra A is Connes semi-amenable (resp. approximately semi-amenable) if, every D ∈ Z1w _ (A,X), for each normal, dual Banach A-bimodule X, is semi -inner (resp…
[ 4 ] - خواصی از عملگرهای b– ضعیف فشرده روی مشبکه های باناخ
در این مقاله شرط لازم و کافی برای اینکه مشبکه باناخ ،- فضا باشد را ارائه و بعضی از خواص عملگرهای – ضعیف فشرده از مشبکه باناخ به فضای باناخ را مطالعه می‌کنیم و نشان می دهیم هر عملگر فشردۀ ضعیف ترتیبی از مشبکه باناخ E به فضای باناخ b– ضعیف فشرده است و با آوردن یک مثال، عکس آن را نقض می‌کنیم. همچنین ثابت می‌کنیم که تحت شرایطی عکس آن برقرار است.
[ 5 ] - Arens Regularity and Cohomological Properties of Banach Lattice Algebra
A Banach lattice algebra is a Banach lattice, an associative algebra with a sub-multiplicative norm and the product of positive elements should be positive. In this note we study the Arens regularity and cohomological properties of Banach lattice algebras.
[ 6 ] - Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra
In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*le…