The main purpose of this paper is to characterize the compact, invertible, Fredholm and closed range multiplication operators on second Ces\`{a}ro-Orlicz sequence spaces.

Abstract We show that the formula for essential norm of a multiplication operator on $$L_p$$ L p , $$1<p<\infty $$ 1 < ? also holds $$p=1$$ = . provide proof which works ...

We give sufficient conditions for the universality of tensor products fTnf #Rn : nANg of sequences of operators defined on Fréchet spaces. In particular we study when the tensor product Tf #R of two operators is chaotic in the sense of Devaney. Applications are given for natural operators on function spaces of several variables, in Infinite Holomorphy, and for multiplication operators on the al...

In this paper GA based light weight faster version of Digital Signature Algorithm (GADSA) in wireless communication has been proposed. Various genetic operators like crossover and mutation are used to optimizing amount of modular multiplication. Roulette Wheel selection mechanism helps to select best chromosome which in turn helps in faster computation and minimizes the time requirements for DS...

The framework of point form relativistic quantum mechanics is used to construct interacting four-momentum operators in terms of creation and annihilation operators of underlying constituents. It is shown how to write the creation and annihilation operators in terms of discrete momenta, arising from discrete subgroups of the Lorentz group, in such a way that the Poincaré commutation relations ar...

We generalize to several variables Kurbanov and Maksimov's result that all linear polynomial operators can be expressed as a formal sum P 1 k=0 ak(X)D k in terms of the derivative D (or any degree reducing operator) and multiplication by x. In contrast, we characterize those linear operators that can be expressed as P 1 k=0 fk(D)X k and give several examples. Generalizations to several variable...

For truncated Toeplitz operators, which are compressions of multiplication operators to model subspaces of the Hardy space H2 , we obtain criteria for commutation relations. The results show an analogy to the case of Toeplitz matrices, and they extend the theory of Sedlock algebras. Mathematics subject classification (2010): 47B32, 47B35, 47B37.