0. Introduction. Let H be a complex Hilbert space of finite or infinite dimension, and let E be a collection of bounded linear operators on H. We say E is reducible if there exists a subspace of H, closed by definition and different from the trivial subspaces {0} and H which is invariant under every member of E . We call E triangularizable if the set of invariant subspaces under E contains a ma...

In this paper we consider the question when an upward directed set of positive ideal-triangularizable operators on a Banach lattice is (simultaneously) ideal-triangularizable. We prove that a majorized upward directed set of ideal-triangularizable positive operators, which are compact or abstract integral operators is ideal-triangularizable. We also prove that a finite subset of an additive sem...

In this paper we study triangularization of collections of matrices whose entries come from a finite-dimensional division ring. First, we give a generalization of Guralnick's theorem to the case of finite-dimensional division rings and then we show that in this case the reduced trace function is a suitable alternative for trace function by presenting two triangularization results. The first one...

in this paper we study triangularization of collections of matrices whose entries come from a finite-dimensional division ring. first, we give a generalization of guralnick's theorem to the case of finite-dimensional division rings and then we show that in this case the reduced trace function is a suitable alternative for trace function by presenting two triangularization results. the firs...

three antituberculosis medications are investigated in this work consist of rifampicin, isoniazid and pyrazinamide. the ultra violet (uv) spectra of these compounds are overlapped, thus use of suitable chemometric methods are helpful for simultaneous spectrophotometric determination of them. a generalized version of net analyte signal standard addition method (gnassam) was used for determinatio...

We consider solutions of normal form games that are invariant under strategic equivalence. We consider additional properties that can be expected (or be desired) from a solution of a game, and we observe the following: • Even the weakest notion of individual rationality restricts the set of solutions to be equilibria. This observation holds for all types of solutions: in pure-strategies, in mix...

the problem of designing a set of routes with minimum cost to serve a collection of customers with a fleet of vehicles is a fundamental challenge when the number of customers to be dropped or picked up is not known during the planning horizon. the purpose of this paper is to develop a vehicle routing problem (vrp) model that addresses stochastic simultaneous pickup and delivery in the urban pub...

a partial least squares (pls) calibration model was developed for the simultaneous spectrophotometricdetermination of pb (ιι), cu (ιι) and ni (ιι) using xylenol orange as a chromogenic reagent. the parameterscontrolling behavior of the system were investigated and optimum conditions were selected. the calibrationgraphs were linear in the ranges of 0.0–9.091, 0.0–2.719 and 0.0–2.381 ppm for lead...

a simple, accurate and precise hptlc- densitometry method for the simultaneousdetermination of abacavir, lamivudine and zidovudine in pharmaceutical tablet has beendeveloped. separation of tablet components was performed on aluminum backed hptlc plates(silica gel 60 f254 20×20 cm with 0.2 mm thickness, camag, muttenz, switzerland ) usingmethanol : chloroform : acetonitrile (4 : 8 : 3 v/v). good...