For a Banach algebra A, we denote by .A* and .A** the first and the second duals of A respectively. Let T be a mapping from .A* to itself. In this article, we will investigate some stability results concerning the...For a Banach algebra A, we denote by .A* and .A** the first and the second duals of A respectively. Let T be a mapping from .A* to itself. In this article, we will investigate some stability results concerning the equations T(αf + βg) -= αT(f) + βT(g), T(af) = aT(f) andT(αf +βg) + T(αf - βg) =- 2α2T(f) + 2β2T(g) where f, g e .A*, a ∈ A, and α,β ∈ Q / {0}.展开更多
We propose a new type of two-dimensional (2D) photonic crystal L-shaped bent waveguides based on ring resonators with an acceptable bandwidth. The proposed structure mechanism is based on coupling between a waveguid...We propose a new type of two-dimensional (2D) photonic crystal L-shaped bent waveguides based on ring resonators with an acceptable bandwidth. The proposed structure mechanism is based on coupling between a waveguide and a ring resonator. This structure is designed and verified by finite-difference time-domain (FDTD) computation. Our simulation using this method gets over 90% output.展开更多
文摘For a Banach algebra A, we denote by .A* and .A** the first and the second duals of A respectively. Let T be a mapping from .A* to itself. In this article, we will investigate some stability results concerning the equations T(αf + βg) -= αT(f) + βT(g), T(af) = aT(f) andT(αf +βg) + T(αf - βg) =- 2α2T(f) + 2β2T(g) where f, g e .A*, a ∈ A, and α,β ∈ Q / {0}.
文摘We propose a new type of two-dimensional (2D) photonic crystal L-shaped bent waveguides based on ring resonators with an acceptable bandwidth. The proposed structure mechanism is based on coupling between a waveguide and a ring resonator. This structure is designed and verified by finite-difference time-domain (FDTD) computation. Our simulation using this method gets over 90% output.