Two properties of Bochner integrals

Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals

Strong Barrelledness Properties in Lebesgue-Bochner Spaces

If (Ω,Σ, μ) is a finite atomless measure space and X is a normed space, we prove that the space Lp(μ,X), 1 ≤ p ≤ ∞ is a barrelled space of class א0, regardless of the barrelledness of X. That enables us to obtain a localization theorem of certain mappings defined in Lp(μ,X). By “space” we mean a “real or complex Hausdorff locally convex space”. Given a dual pair (E,F ), as usual σ(E,F ) denotes...

Extension of a Theorem of Bochner on Express- Ing Functionals as Riemann Integrals

Introduction. S. Bochner has shown that an additive homogeneous functional defined over a sufficiently large class C of functions can be realized as a Riemann integral with respect to a finitely additive measure V in the space X over which the functions are defined. His proof makes use of the fact that the constant function belongs to C, as a result, V(X) is finite. I t is the purpose of this n...

Some properties of angular integrals

We find new representations for Itzykson-Zuber like angular integrals for arbitrary β, in particular for the orthogonal group O(n), the unitary group U(n) and the symplectic group Sp(2n). We rewrite the Haar measure integral, as a flat Lebesge measure integral, and we deduce some recursion formula on n. The same methods gives also the Shatashvili’s type moments. Finally we prove that, in agreem...

control of the optical properties of nanoparticles by laser fields

در این پایان نامه، درهمتنیدگی بین یک سیستم نقطه کوانتومی دوگانه(مولکول نقطه کوانتومی) و میدان مورد مطالعه قرار گرفته است. از آنتروپی ون نیومن به عنوان ابزاری برای بررسی درهمتنیدگی بین اتم و میدان استفاده شده و تاثیر پارامترهای مختلف، نظیر تونل زنی(که توسط تغییر ولتاژ ایجاد می شود)، شدت میدان و نسبت دو گسیل خودبخودی بر رفتار درجه درهمتنیدگی سیستم بررسی شده اشت.با تغییر هر یک از این پارامترها، در...