in the present paper, we shall attempt to make a contribution to approximate analytical evaluation of the harmonic decomposition of an arbitrary continuous function. the basic assumption is that the class of functions that we investigate here, except the verification of dirichlet's principles, is concurrently able to be expanded in taylor's representation, over a particular interval o...

The Stone spectrum of a von Neumann algebra is a generalization of the Gelfand spectrum, as was shown by de Groote. In this article we clarify the structure of the Stone spectra of von Neumann algebras of type In.

form the base of a topology on the Stone spectrum Q(R) such that Q(R) becomes a zero-dimensional, completely regular Hausdorff space. The sets QP (R) are closed-open. If the von Neumann algebra R is abelian, then the Stone spectrum Q(R) is homeomorphic to the Gelfand spectrum Ω(R) of R. For an arbitrary non-abelian unital von Neumann algebra R, the Stone spectrum can hence be regarded as a non-...

in this article we study two different generalizations of von neumann regularity, namely strong topological regularity and weak regularity, in the banach algebra context. we show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. then we consider strong topological regularity of certain concrete algebras. moreover we obtain ...

conclusions the high prevalence of vwd among our patients was the same as other previous reports, suggesting low awareness about this disease and under diagnosis of mild cases. results mean age of our patients was 32.5 ± 10.6 years. the level of von willebrand factor in 22.5% and von willebrand activity in 19.6% of patients was abnormal. the prevalence of vwd among patients with menorrhagia was...

In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...

conclusions we described successful perioperative management of a child who underwent bilateral laparoscopic cortical sparing adrenalectomy and a repeated surgery for the residual tumor removal. case presentation the child might present with a spectrum of clinical manifestation including hypertension, headache, visual disturbances, and behavioral problems. a meticulous preoperative preparation ...