In this article, we shall discuss some recent developments and applications of the local spectral theory for linear operators on Banach spaces. Special emphasis will be given to those parts of operator theory, where spectral theory, harmonic analysis, and the theory of Banach algebras overlap and interact. Along this line, we shall present the recent progress of the theory of quotients and rest...

we introduce a new one-step iteration process to approximate common fixed points of twononexpansive mappings in banach spaces and prove weak convergence of the iterative sequence using (i)opial’s condition and (ii) kadec-klee property. strong convergence theorems are also established in banachspaces and uniformly convex banach spaces under the so-called condition ( a ), which is weaker thancom...

Moslehian  and Mirmostafaee, investigated the fuzzystability problems for the Cauchy additive functional equation, the Jensen additivefunctional equation and the cubic functional equation in fuzzyBanach spaces. In this paper, we investigate thegeneralized Hyers–-Ulam--Rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy Banachspaces. Also, we will show ...

moslehian  and mirmostafaee, investigated the fuzzystability problems for the cauchy additive functional equation, the jensen additivefunctional equation and the cubic functional equation in fuzzybanach spaces. in this paper, we investigate thegeneralized hyers–-ulam--rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy banachspaces. also, we will show ...

In this study, the relationship among four species of Polygonum (including P. hyrcanicum (three samples), P. persicaria, P. avicular, and P. hydropiper) was investigated by GC profiling. Furthermore, the major compounds of the ethylic ether extract of P. hyrcanicum were identified by GC/MS as: α-bisabolol (17.5%), cedrol (15.9%), sesquisabinene hydra...

microorganisms are important components of soil. some soil filamentous fungi such aspenicilium produce many bioactive small molecules, or secondary metabolites, that range frombeneficial bioactive compounds to harmful toxins. in this study, the metabolites of threepenicillium species (p. goditanum, p. moldavicum and p. corylophilum) were extracted byadding ethyl acetate to liquid cultures. the ...