In this paper, we first give a description of a surjective unit-preserving real-linear uniform isometry $ T : A longrightarrow B$,  where $ A $ and $ B $ are complex function spaces on compact Hausdorff spaces $ X $ and $ Y $, respectively, whenever ${rm ER}left (A, Xright ) = {rm Ch}left (A, Xright )$ and ${rm ER}left (B, Yright ) = {rm Ch}left (B, Yright )$. Next, we give a description of $ T...

introduction: the aim of this study was to get to a neurological evaluation of one of the persian music scales, homayoun, on brain activation of non-musician subjects. we selected this scale because homayoun is one of the main scales in persian classical music which is similar to minor mode in western scales. methods: this study was performed on 19 right handed subjects, aging 22-31. here some ...

Congenital defects of the pericardium are considered rare. Until 1979 , the reported cases were only about 200.1 Total absence of the left pericardium is the most common defect2 and less common is a partial defect of the left pericardium. Other types, i.e. isolated right-sided defects, total pericardial absence and diaphragmatic pericardial defects are very rare.3 Before the last decade, t...

Let $f(z)$ be an analytic function on the unit disk ${zinmathbb{C}, |z|leq 1}$, for each $q>0$, the $|f|_{q}$ is defined as followsbegin{align*}begin{split}&left|fright|_q:=left{frac{1}{2pi}int_0^{2pi}left|f(e^{itheta})right|^qdthetaright}^{1/q}, 0

In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...