Ring-like Space Constructed from Group-like Space

The ring-like space introduced in[1] is more extensive than the topological ring in view of the definition. But, in face, it has not been shown whether the ring-like space is really more extensive than the topological ring. In our study, we first investigate a method of constructing a ring-like space from a group-like space. Then, using this method, ws construct a ring-like space which is not a topological ring.     

Bispinor Space

In this paper, we give identifications of bispinor space with Grassmann algebra, and with Clifford algebra. The multiplication in Clifford algebra provides an action on them. Lastly we have researched on the geometry of bispinor space, and define Dirac operators to get a Pythagoras equality.     

Augmented Spinor Space

In this paper, based on the Pauli matrices, a notion of augmented spinor space is introduced, and a uniqueness of such augmented spinor space of rank n is proved. It may be expected that this new notion of spaces can be used in mathematical physics and geometry.     

Besov Functions and Tangent Space to the Integrable Teichmüller Space

The authors identify the function space which is the tangent space to the integrable Teichm¨uller space. By means of quasiconformal deformation and an operator induced by a Zygmund function, several characterizations of this function space are obtained.     

The Moduli Space of Points in the Boundary of Complex Hyperbolic Space

We consider the space M(n,m)\mathcal{M}(n,m) of ordered m-tuples of distinct points in the boundary of complex hyperbolic n-space, H_\mathbbCⁿ\mathbf{H}_{\mathbb{C}}^{n}, up to its holomorphic isometry group PU(n,1). An important problem in complex hyperbolic geometry is to construct and describe the moduli space for M(n,m)\mathcal{M}(n,m). In particular, this is motivated by the study of the deformation space of complex hyperbolic groups generated by loxodromic elements. In the present paper, we give the complete solution to this problem.     

Separation Properties of Bitopological Space

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Radon-Nikodym Theorem in Loeb Space

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Complete Space－like Submanifolds in a de Sitter Space with Parallel Mean CurvatureVector

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Prime Space of Lattice Implication Algebras

1.IntroductionPeoplehavepaidmoreattentiontolathcevaluedlogicsystem,whichwillbecomemuchbetterlogicalsystemforintelligentcomputer.InreferenceL1JXuYangpresentanalgebrastructure-latticeimplicationalgebrabycomblngthelatticewithimplicationalgebraastruevaluefieldoflatticevaluedlogicaIsystem.Afterthat,westudytheimplicationhomomor-phism,congruencerelationsandalgebraicstructureoflatticeimplicationalgebraanddiscussthefirstorderlogicalsystemFMbasedonlatticeimplicationalgebras,andobtainedseveralimpor-ta…     

Weighted Composition Operators from the Minimal Möbius Invariant Space into the Bloch Space

Let ${{\varphi}}$ be an analytic self-map of the open unit disk ${{\mathbb{D}}}$ in the complex plane ${{\mathbb{C}, H(\mathbb{D})}}$ the space of complex-valued analytic functions on ${{\mathbb{D}}}$ , and let u be a fixed function in ${{H(\mathbb{D})}}$ . The weighted composition operator is defined by $$(uC_{\varphi}f)(z) = u(z)f({\varphi}(z)), \quad z \in \mathbb{D}, f \in H(\mathbb{D}).$$ In this paper, we study the boundedness and the compactness of the weighted composition operators from the minimal Möbius invariant space into the Bloch space and the little Bloch space.     

M-N Fuzzy Number Space and properties

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Three-dimensional Pythagorean Theorem for Elliptic Space

Let M be an elliptic space with constant curvature K=1/R~2,and consider inM a right-angled tetrahedron,i.e.,a tetrahedron with three mutually perpendi-cular edges at a certain vertex.Denote the tetrahedron by VABC and assumethat each of the edges VA,VB and VC is perpendicular to others.The areas oftriangles VBC,VCA,VAB and ABC are denoted by S_1,S_2,S_3 and S,respective-ly.We obtain the following     

The Property about Space of Q_p ~#Functions

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Determinant Bundle Over the Universal Moduli Space of Principal Bundles Over the Teichmüller Space

For a Riemann surface X and the moduli of regularly stable G-bundles M, there is a naturally occuring “adjoint” vector bundle over X × M. One can take the determinant of this vector bundle with respect to the projection map onto M. Our aim here is to study the curvature of the determinant bundle as the conformal structure on X varies over the Teichmüller space.     

Congruence Convergence in Pp-Wave Space–Time

We argue that the well-known geodesic completeness property of pp-waves can be disregarded once the geodesics are extracted as being extended along sets of Brinkmann coordinates. We investigate this issue in the more general context of congruence convergence and show that the problem leads to various issues for nongeodesic congruences. Our consideration is mostly based on the null congruence expansion, and we also provide a generalized Raychaudhuri equation.     

μ-Average n-Widths on the Wiener Space

In this paper we consider the μ-average widths of integral operator T^m on the Wiener space C. Some weakly asymptotically exact estimates for the Gelfand width and other widths are obtained.     

Borsuk''''s Problem in a Special Normed Space

Borsuk's problem is a famous problem in combinatorial geometry. It deals with the problem of partitioning a set into parts of smaller diameter. The problem was posed by the well-known Polish mathematician K. Borsuk in 1933. Many results have been obtained since then. In this paper, we discuss the Borsuk's problem in the     

Carleson Measure and Multipliers on Bergman Space

1. Introduction.In 1962, Carleson [2] proved the well known Carleson measure theorem for Hardy space. In 1975. Hastings [5] obtained an analogous theorem for Bergman space. In this paper we prove a Carleson type theorem for the quasi-normal weighted Bergman space using a way other than Hastings'.As an application we obtain a theorem on multiplier theory. This generalizes     

Commutation Relations on Indefinite Inner Product Space

In this paper,we study the hyponormal operators on indefinite inner prodtuct space and discusssome properties of its spectrum.     

Integrals of Cauchy Type in C Space

The earliest paper to study boundary behavior of the integrals of the Cauchy-Martinelli type was[1]. But up to the present, not many boundary behaviors for the integrals of the Cauchy-Fantappi type are discussed. In this paper, we study the boundary behavior for the following form