Isometric multipliers of a vector valued Beurling algebra on a discrete semigroup

Let (S,ω) be a weighted abelian semigroup, let M _ω (S) be the semigroup of ω-bounded multipliers of S, and let \(\mathcal {A}\) be a strictly convex commutative Banach algebra with identity. It is shown that T is an onto isometric multiplier of \(\ell ^{1}(S,\omega , \mathcal {A})\) if and only if there exists an invertible σ ∈ M _ω (S), a unitary point \(a \in \mathcal {A}\), and a k>0 such that \(T(f)= ka{\sum }_{x \in S} f(x)\delta _{\sigma (x)}\) for each \(f={\sum }_{x \in S}f(x)\delta _{x} \in \ell ^{1}(S,\omega ,\mathcal {A})\). It is also shown that an isomorphism from \(\ell ^{1}(S_{1},\omega _{1},\mathcal {A})\) onto \(\ell ^{1}(S_{2},\omega _{2}, \mathcal {B})\) induces an isomorphism from \(M(\ell ^{1}(S_{1},\omega _{1},\mathcal {A}))\), the set of all multipliers of \(\ell ^{1}(S_{1},\omega _{1},\mathcal {A})\), onto \(M(\ell ^{1}(S_{2},\omega _{2},\mathcal {B}))\).     

OPTICAL ABSORPTION AND EMISSION STUDIES ON LASER DYE INCORPORATED IN NAFION MEMBRANE

Abstract— Incorporation of the laser dye 7-amino-4-methyl coumarin (C-120) in a perfluoro sulfonate cation exchange membrane (Nafion) from aqueous solution has been studied by following its light absorption and emission (fluorescence) characteristics. It is shown that in the H⁺ form of the membrane the dye exists in its monoprotonated cationic form, whereas in different cation exchanged forms of the membrane it is incorporated as the unprotonated neutral molecules. By repeated equilibration with the aqueous solution, high concentrations of the dye could be loaded into the membrane. As compared to an aqueous solution, the polymer matrix was found to confer very good photostability to the dye.     

Two-way quantum communication: Generalization of secure quantum information exchange to quantum network

The idea of secure quantum information exchange (SQIE) [J. Phys. B: At. Mol. Opt. Phys.44, 115504 (2011)] is introduced for the secure exchange of single qubit information states between two legitimate users, Alice and Bob. In the present paper, we extend this original SQIE protocol by presenting a scheme, which enables the secure exchange of n-single qubit information states among the n nodes of a quantum network, with the aid of a special kind of 4n-qubit entangled state and the classical assistance of an extra participant Charlie. For experimental realization of our extended SQIE protocol, we suggest an efficient scheme for the generation of a special kind of 4n-qubit entangled state using the interaction between highly detuned Λ-type three-level atoms and optical coherent field. Further, by discussing the various experimental parameters, we show that the special kind 4n-qubit entangled state can be generated with the presently available technology.     

Binding of permanganate anion to pentaammineazidocobalt(III) cation in solution and solid phases: synthesis,characterization, X-ray structure,and genotoxic effects of [Co(NH3)5N3](MnO4)2⋅H2O

A pentaammineazidocobalt(III) complex, [Co(NH₃)₅N₃](MnO₄)₂XH₂O has been synthesized by an one-pot synthesis method. It was characterized by studies such as infrared (IR) and UV-visible spectroscopy. The single crystal X-ray structure analysis revealed that the title complex crystallizes in space group Cc. The cobalt center is six coordinated with slightly octahedral geometry. The supramolecular architecture is also formed by intermolecular N-H…O (anion and H₂O) and Mn-O…O-H hydrogen bonds. The binding property of the cation, [Co(NH₃)₅N₃]²⁺ with the anion, MnO₄^– has also been determined (in solution phase) with the help of UV-visible spectroscopic titrations. Further, the genotoxic effects of KMnO₄, [Co(NH₃)₅N₃]Cl₂ and [Co(NH₃)₅N₃](MnO₄)₂XH₂O were studied using Allium cepa root chromosomal aberration assay and it revealed that the genotoxicity of the newly synthesized complex is 1.97–1.76 fold, which is less compared to KMnO₄. The order of genotoxic potential has been observed to be KMnO₄ > [Co(NH₃)₅N₃](MnO₄)₂XH₂O > [Co(NH₃)₅N₃]Cl₂.     

Co(Ⅱ)、Mn(Ⅱ)Schiff碱配合物的合成及其对超氧离子的抑制作用

Ｓｃｈｉｆｆ碱及其金属配合物具有抗菌、抗癌等生物活性［１］,尤其是钴（Ⅱ）Ｓｃｈｉｆｆ碱配合物具有催化及可逆载氧等特殊性能［２］,引起人们极大的研究兴趣。本文合成了四种新型的未见文献报道的Ｃｏ（Ⅱ）、Ｍｎ（Ⅱ）Ｓｃｈｉｆｆ碱配合物。研究表明这类配合物结构稳定、生物活性高,可作超氧化物歧化酶的模拟物,对超氧离子Ｏ２-自由基有良好的催化歧化作用。１实验部分１１配体（５氯水杨醛缩盐酸氨基脲ＨＬ）的合成将等摩尔的自制５氯水杨醛［３］（３１３ｇ）的乙醇液滴加于盐酸氨基脲（２２３ｇ）的中性水溶液中,在８６℃的恒…     

DIFFERENT EFFECTS OF RAD GENES OF SACCHAROMYCES CEREVISIAE ON INCISIONS OF INTERSTRAND CROSSLINKS AND MONOADDUCTS IN DNA INDUCED BY PSORALEN PLUS NEAR UV LIGHT TREATMENT

Abstract— The RAD1, RAD2, RAD3 and RAD4 genes of Saccharomyces cerevisiae are required for incising DNA containing UV induced pyrimidine dimers or psoralen plus 360 nm light induced interstrand crosslinks. We have now determined if these genes are also required for incising DNA at psoralen plus 360 nm light induced monoadducts. For distinguishing between incision breaks occurring at crosslinks and at monoadducts. we have used the cdc9-2 mutant, defective in DNA ligase activity at the restrictive temperature, and the radl-2 cdc9-2, rad2-5 cdc9-2 , rad3-2 cdc9-2 and rad4-4 cdc9-2 double mutant combinations. We conclude that the radl, rad2 , and rad4 mutants are defective in incising DNA both at crosslinks and monoadducts, whereas the rad3 mutant is proficient in incising DNA at monoadducts but not at crosslinks.     

HF-based clad etching of fibre Bragg grating and its utilization in concentration sensing of laser dye in dye–ethanol solution

This paper presents a fibre Bragg grating (FBG) based sensor to study the concentration of laser dye in dye–ethanol solution. The FBG used in this experiment is indigenously developed using 255 nm UV radiations from copper vapour laser. The cladding of the FBG was partially removed using HF-based etching to make FBG sensitive to changes in the surrounding refractive index. The experimental results on the shift of the Bragg peak wavelength with HF etching and different dye concentration in ethanol are presented. The Bragg wavelength shifted from 1534.670 nm to 1534.225 nm in 30 min and from this point to 1533.97 in the next 2 min. The clad-etched Bragg peak shifted almost linearly from 1534.056 nm to 1534.162 nm as surrounding dye concentration in ethanol changes from 0 mM to 1.5 mM. It was observed that sensitivity depends on the concentration of the solution and found to be 70 pm/mM.     

Meyer–Neldel DC conduction in chalcogenide glasses

Meyer–Neldel (MN) formula for DC conductivity (σ _DC) of chalcogenide glasses is obtained using extended pair model and random free energy barriers. The integral equations for DC hopping conductivity and external conductance are solved by iterative procedure. It is found that MN energy (ΔE _MN) originates from temperature-induced configurational and electronic disorders. Single polaron-correlated barrier hopping model is used to calculate σ _DC and the experimental data of Se, As₂S₃, As₂Se₃ and As₂Te₃ are explained. The variation of attempt frequency ν ₀ and ΔE _MN with parameter (r/a), where r is the intersite separation and a is the radius of localized states, is also studied. It is found that ν ₀ and ΔE _MN decrease with increase of (r/a), and ΔE _MN may not be present for low density of defects.     

TiO2担载镍催化剂上硝基苯液相加氢（英文）

The catalytic hydrogenation of nitrobenzene to aniline employing nickel impregnated on rutile,anatase,and high surface area titania supports has been investigated.The nickel is present in elemental state as fcc phase on the catalyst as evidenced by X-ray diffraction results.The Ni crystallite size was found to be greater for Ni/anatase.The temperature-programmed reduction results suggest a greater metal-support interaction for Ni/rutile.The observed order of catalytic activity for the hydrogenation of nitrobenzene is Ni/rutile > Ni/anatase > Ni/TiO2.A conversion of 99% was observed for Ni/rutile at 140 oC and hydrogen pressure of 1.96 MPa.Interestingly,aniline is the only product formed which demonstrates the catalytic hydrogenation of nitrobenzene proceeds with atom economy.Both Ni/rutile and Ni/anatase exhibited a better stability than Ni/TiO2.The hydrogenation proceeds with the preferential adsorption of hydrogen on nickel present in the catalyst surface,possibly assisted by TiOx species.     

Estimation of the Rate of a Doubly Stochastic Time-Space Poisson Process

We consider the problem of estimating the rate of a doubly stochastic,time-space Poisson process when the observations are restrictedto a region DR², and assuming that the rate process has a Gaussianform. In the case D=R², we extend a known result to computethe minimum-mean-square-error (MMSE) estimate explicitly. WhenDR², we consider the use of linear estimates. We give closed-formexpressions for the mean and the covariance of the rate processin terms of the mean and the covariance of an underlying stateprocess. This enables us to write down a well-defined integralequation which determines the linear MMSE estimate of the rate.