As proved in Ka̧kol and Leiderman (Proc AMS Ser B 8:86–99, 2021), for a Tychonoff space X, locally convex $$C_{p}(X)$$ is distinguished if only X $$\Delta $$ -space. If there exists linear continuous surjective mapping $$T:C_p(X) \rightarrow C_p(Y)$$ $$C_p(X)$$ distinguished, then $$C_p(Y)$$ also (Ka̧kol Proc B, 2021). Firstly, this paper we explore the following question: Under which conditions ...

Comparisons of diierent cellular devices and the investigation of their computing power can be made in terms of their capabilities to time-construct and time-compute functions. Time-construction means that a distinguished cell has to enter distinguished states exactly at the time steps f (1); f (2); : : :, whereas time-computation requires the distinguished cell to enter a distinguished state r...

We associate to each locally finite directed graph G two locally compact groupoids G and G(?). The unit space of G is the space of one–sided infinite paths in G, and G(?) is the reduction of G to the space of paths emanating from a distinguished vertex ?. We show that under certain conditions their C∗–algebras are Morita equivalent; the groupoid C∗–algebra C∗(G) is the Cuntz–Krieger algebra of ...

The time delay and the structural stability are major issues in big size projects due to several factors. Improper planning and poor coordination lead to delay in construction, which sometimes result in reworking or rebuilding. This definitely increases the cost and time of project. This situation stresses the structural engineers to plan out of the limits of contemporary technology utilizing n...

In this paper, we describe the primitive ideal space of the $C^*$-algebra $C^*(mathcal G)$  associated to the ultragraph $mathcal{G}$. We investigate the structure of the closed ideals of the quotient ultragraph $  C^* $-algebra  $C^*left(mathcal G/(H,S)right)$ which contain no nonzero set projections and then we characterize all non gauge-invariant primitive ideals. Our results generalize the ...