In this paper, the boundedness and compactness of embedding from Besov Type spaces Bp(?) into tent Tq,s(?) are investigated (1 ? p q < 0 ?,s 1). As an application, Volterra integral operator T1 I1 to F(q,q-2+q/p(1-?),s) also studied.

We investigate for a bounded semigroup of linear operators S on Banach space E and vector x∈E, when relative compactness S(I−T)x every T∈S implies the orbit Sx. In particular, we derive characterizations separable spaces not containing c0 reflexivity with Schauder basis in terms such results.

we introduce the class of “right almost v-rings” which is properly between the classes of right v-rings and right good rings. a ring r is called a right almost v-ring if every simple r-module is almost injective. it is proved that r is a right almost v-ring if and only if for every r-module m, any complement of every simple submodule of m is a direct summand. moreover, r is a right almost v-rin...

MOTIVATION Computationally generated non-native protein structure conformations (or decoys) are often used for designing protein folding simulation methods and force fields. However, almost all the decoy sets currently used in literature suffer from uneven root mean square deviation (RMSD) distribution with bias to non-protein like hydrogen-bonding and compactness patterns. Meanwhile, most prot...

Motivation: Computationally generated non-native protein structure conformations (or decoys) are often used for designing protein folding simulation methods and force fields. However, almost all the decoy sets currently used in literature suffer from uneven root mean square deviation (RMSD) distribution with bias to non-protein like hydrogen-bonding and compactness patterns. Meanwhile, most pro...

A variant of compactness designated as statistical has been introduced. Statistically compact subsets n-dimensional Euclidean space Rn have characterized by using Cantor-Bendixson derivative and it is further extended to the product RN.