using the notion of “belongingness ($epsilon$)” and “quasi-coincidence (q)” of fuzzy points with fuzzy sets, we introduce the concept of an ($ alpha, beta$)- fuzzyhv-ideal of an hv-ring, where , are any two of {$epsilon$, q,$epsilon$ $vee$ q, $epsilon$ $wedge$ q} with $ alpha$ $neq$ $epsilon$ $wedge$ q. since the concept of ($epsilon$, $epsilon$ $vee$ q)-fuzzy hv-ideals is an important and ...

we investigate the problem of the existence of a frame forright ideals of a C*-algebra A, without the use of the Kasparov stabilizationtheorem. We show that this property can not characterize A as a C*-algebraof compact operators.

Given input-output pairs of an elliptic partial differential equation (PDE) in three dimensions, we derive the first theoretically-rigorous scheme for learning associated Green's function $G$. By exploiting hierarchical low-rank structure $G$, show that one can construct approximant to $G$ converges almost surely and achieves a relative error $\mathcal{O}(\Gamma_\epsilon^{-1/2}\log^3(1/\epsilon...

Frames for Hilbert spaces are interesting mathematicians but also important applications in, e.g., signal analysis and physics. In both mathematics physics, it is natural to consider a full scale of spaces, not only single one. this paper, we study how certain frame-related properties sequence in one the such as completeness or property being (semi-) frame, propagate other ones spaces. We link ...

in this paper the rehabilitation of concrete structures with a new system is considered. in this system pre- stressed cables with energy dissipating viscous spring dampers at the end of each cable, are used to increase structure lateral stiffness. cable system can be replaced with other system due to their high tensile resistance, their easy replacement, high speed performance, economical matte...