Search Results - "spaces"

In this paper, we prove that the embeddings of certain well-known symmetric spaces are weakly compact. Our main results concern noncommutative Lorentz and Marcinkiewicz spaces on finite von Neumann algebras.

The purpose this paper is to introduce gr-b-I- open sets, via this concept we study some weak separation axioms in ideal topological spaces. The implications of these axioms among themselves and with the known axioms are investigated  

In this paper we study a special type of pseudo-Riemannian spaces - quasi-Einstein spaces of constant scalar curvature. These spaces are generalizations of known Einstein spaces. We obtained a linear form of the basic equations of the theory of geodetic mappings for these spaces. The studies are con...

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In order to create a dynamic measure that describes distances between spatiotemporal points whose positions changeover time as well as between the data represented by these points,a temporal intuitionistic fuzzy metric space is created in this pa-per. The notions of temporal fuzzy t-norm, temporal f...

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Urban landscapes are capable of responsive urban development that optimises the quality of Urban Green Space (UGS) for advanced function as a matter of efficient and convenient knowledge management. As a theory for positive outcomes for urban landscapes substantiated by refined wilding, functional u...

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In this paper, we define several types of continuous mapping in $n$-normed spaces with respect to the norms of its quotient spaces. Then, we show that all types of the continuity are equivalent. We also study contractive mappings on $n$-normed spaces using these norms. In particular, we prove a fixe...

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The study focused on expanding the concept of 2-normed spaces by developing a new definition ( -normed space), and the study concentrated on the convergent of sequences and Cauchy sequences in our definition, as well as some other branches such as linear transformation and contraction.

The purpose of this paper is to introduce the concepts of intuitionistic fuzzy  generalized  α  connectedness in intuitionistic fuzzy topological space and study some of its properties. Finally we study the relation between intuitionistic fuzzy  generalized α connectedness and intuitionistic fuzzy...

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As a sociocultural product, the home is shaped by specific sociocultural norms and values. Economic development and modernisation have significantly affected the architecture of many Muslim homes, resulting in a disconnection from Islamic culture. This paper explores two sociocultural factors in Mus...

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The aim of the research is to define new types of nano–separation axioms then named  ,where  , Also there are some theorems and examples shown the relationship among these types of spaces.

A map f:X→Y between topological spaces is called scatteredly continuous if for each non-empty subspace A⊂X the restriction f| A has a point of continuity. By SC p (X) we denote the space of all scatteredly continuous real-valued functions on X endowed with the topology of pointwise convergence...

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We study in this paper the composition operator of induced by the function ?(z)=sz+t where , and We characterize the normal composition operator C? on Hardy space H2 and other related classes of operators. In addition to that we study the essential normality of C? and give some other partial re...

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Let $\mathcal{L}_p$ be the subspace of the space $L_p(\mathbb{R})$ consisting of the restriction to the real axis of all entire functions of exponential type $\le \pi$. In this paper, for any function $f\in \mathcal{L}_p \,\,(1\le p\le \infty)$, we obtain estimates for the norm of $f$ in terms of th...

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This paper examines a family of operators that combine the features of fractional-order and classical operators. Our goal is to obtain results on their invertibility in function spaces, based on their inherent improving properties. The class of proportional operators we study is extensive and includ...

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We present a unified approach to define dimension functionslike $rind$, $rind_p$, $rt$ and~$p$. We show how somesimilar facts on these functions can be proved similarly.Moreover, several new classes of infinite-dimensional spacesclose to the classes of countable-dimensional and$sigma$-hereditarily d...

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Today, safety in public spaces, particularly in urban parks, has become a critical issue. Urban environment quality, as a measure of living conditions in residential areas, significantly influences residents' satisfaction. Factors such as the level of social services, land-use distribution, soc...

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