Operator-sum representation of time-dependent density operators and its applications

Time-dependent local Green’s operator and its applications to manganites

An algorithm is presented to calculate the electronic local time-dependent Green’s operator for manganitesrelated Hamiltonians. This algorithm is proved to scale with the number of states in the Hilbert space to the 1.55 power, N is capable of parallel implementation, and outperforms computationally the exact diagonalization sEDd method for clusters larger than 64 sites susing parallelizationd....

Preclosure operator and its applications in general topology

In this paper, we show that a pointwise symmetric pre-isotonic preclosure function is uniquely determined the pairs of sets it separates. We then show that when the preclosure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isotonic and pointwise-pre-symmetric, functions which separate only those pairs of sets which are already separated are precontinu...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Operator theory and its applications

A finite-sum representation for solutions for the Jacobi operator

We obtain a finite-sum representation for the general solution of the equation ∆ (p(n− 1)∆u(n − 1)) + q(n)u(n) = λr(n)u(n) in terms of a nonvanishing solution corresponding to some fixed value of λ = λ0. Applications of this representation to some results on the boundedness of solutions are given as well as illustrating examples.