• Kyungpook Mathematical Journal
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• v.50 no.1
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• pp.59-69
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• 2010

The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some difference operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct different sequence spaces with elements in n-normed spaces.

• The Pure and Applied Mathematics
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• v.10 no.1
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• pp.25-35
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• 2003

We study equivalent definitions and some categorical properties of completely regular quasi-ordered spaces and zero-dimensional quasi-ordered spaces. Using the o-completely regular (resp. o-zero-dimensional) filters on a completely regular (resp. zero-dimensional) quasi-ordered space, we show that the category COMPOS (resp. ZCOMPOS) of compact (resp. compact zero-dimensional) partially ordered spaces is reflective in the category CRQOS (resp. ZQOS) of completely regular (resp. zero-dimensional) quasi-ordered spaces and continuous isotones.

• International Journal of High-Rise Buildings
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• v.8 no.2
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• pp.137-154
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• 2019

Singapore has seen a phenomenal and an unprecedented transformation from a swampland to a high density urban environment since its independence in 1965, made possible largely and single-handedly by the sustained efforts of its government. Indeed, urban space is a key vehicle for achieving urban social, environmental, economic, and cultural sustainability. The dense urban context in Singapore has seen an emergence and increase in elevated spaces in the form of sky-gardens, sky-bridges and sky-courts in a range of building types, seemingly seeking to tie together the different horizontal and vertical components of the city. This paper, therefore, examines the effectiveness of elevated urban spaces and pedestrian networks in Singapore and their ability to contribute to the horizontal to vertical transitions, and consequently to the urban vitality and accessibility. It does this through the analysis of two key developments: Marina Bay Sands and the Jurong Gateway. In particular, it considers the implications of certain constraints placed on urban spaces by their inherent location at height, in addition to the familiar privatization of public spaces, over-management of spaces, and their somewhat utilitarian characteristics. The paper argues that some of these issues may pose detrimental effects on the publicness of these spaces that in turn may lead to such spaces being underused and therefore adding redundancies and further stress to Singapore's urban land. Finally, the paper outlines key strategies that may help overcome the aforementioned issues, including the disjuncture associated with elevated spaces such that they may become a seamless extension of the urban spaces on ground.

• Korean Institute of Interior Design Journal
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• v.24 no.6
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• pp.3-12
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• 2015

Recently, the spatial design of resting spaces in department stores has been changed. The design elements such as colors, materials, lighting, natural elements, furniture arrangement, and VMD are not only providing a pleasant and natural indoor atmosphere in resting spaces but also providing various services to customers. In this study, it aims to analyze how the spatial design characteristics of resting spaces in department stores are appeared. The results are as follows. First, the spatial characteristics of the resting spaces in department sores came up as five factors; accessibility, recognition, comfort, convenience, and esthetics. As the result, the accessibility is the most important factor in resting spaces. Second, the resting spaces was well located near by the elevators and escalators providing easy accessibility to customers to floor. Third, the resting spaces need to improve the spatial design for emphasizing the recognitions by using colors, materials and lighting. Fourth, the resting spaces were provided different atmosphere by their location. Fifth, the various forms of furniture, curved, zigzagged, and cubed, were placed in the resting spaces for comport use. Sixth, the aesthetic was the least important factor of all. To improve this problem, the resting spaces need to provide cultural contents by installing art pieces, moving picture facilities, and VMD. Seven, most of the resting spaces had similar floor plan type that they did not perform their role successfully. The resting spaces need to provide both individual rooms and unique open spaces for giving a choice to use when customers visit them.

• East Asian mathematical journal
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• v.14 no.1
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• pp.141-148
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• 1998

• Bulletin of the Korean Mathematical Society
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• v.34 no.3
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• pp.483-489
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• 1997

The $W^\phi$-spaces generalizing the $W^p$-spaces due to Pathak and Upadhyay are investigated and the Fourier transformations on these spaces are continuous.

• Bulletin of the Korean Mathematical Society
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• v.40 no.2
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• pp.289-300
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• 2003

We prove a simplified version of the Nash-Moser implicit function theorem in weighted Banach spaces. We relax the conditions so that the linearized equation has an approximate inverse in different weighted Banach spaces in each recurrence step.

• Korean Journal of Mathematics
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• v.4 no.1
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• pp.1-5
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• 1996

A strong Banach-Mackey property is established for ${\kappa}$-spaces including all complete and some non-complete metric linear spaces and some non-metrizable locally convex spaces. As applications of this result, a strong uniform boundedness result and a new Banach-Steinhaus type theorem are obtained.

• Kyungpook Mathematical Journal
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• v.52 no.2
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• pp.137-147
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• 2012

In this paper we introduce some new double sequence spaces via ideal convergence and an Orlicz function in $n$-normed spaces and examine some properties of the resulting spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.6 no.1
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• pp.77-84
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• 2006

In strictly two-sided, commutative biquantale, we introduce the notion of Hutton $(L,\otimes)$-uniform spaces and $(L,\odot)$-uniform spaces and investigate the properties of them.