• Korean Journal of Mathematics
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• v.5 no.2
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• pp.211-215
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• 1997

In this paper, we introduce two notions of compactness defined by sequential convergence and compare them.

• Communications of the Korean Mathematical Society
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• v.13 no.1
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• pp.137-150
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• 1998

The purpose of this paper is to introduce and study the concept of fuzzy FC-compactness for fuzzy topological spaces.

• Bulletin of the Korean Mathematical Society
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• v.35 no.3
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• pp.515-525
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• 1998

In this paper we obtain a "compactness" result that asserts the existence, in certain sets of sequences, of a sequence which has a maximal reciprocal sum. We derive this result from a much more general theorem which will be proved by introducing a metric into the set of sequences and using a topological argument.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.3
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• pp.527-529
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• 2012

It is proved that the fractional Sobolev spaces $W^s_p(\mathbb{R}^n)$ 0 < $s$ < $n$, are compactly embedded into Lebesgue spaces $L^q(\Omega)$ for some bounded set $\Omega$­.

• Kyungpook Mathematical Journal
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• v.53 no.1
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• pp.125-133
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• 2013

In this paper, we introduce the notion of near pairwise compactness which generalizes the notion of pairwise compactness.

• Honam Mathematical Journal
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• v.30 no.3
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• pp.557-566
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• 2008

In this paper, we introduce the concept of IVF weakly continuity and investigate some characterizations for IVF weakly continuous mappings on the interval-valued fuzzy topological spaces. We introduce and study the concepts of almost IVF compactness and nearly IVF compactness.

• Kyungpook Mathematical Journal
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• v.28 no.1
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• pp.83-90
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• 1988

In this paper we give a notion of pairwise functional compactness in bitopological spaces. We characterize this class of spaces in terms of continuous functions and covers. Also, a characterization in terms of multifuncions is stated.

• Communications of the Korean Mathematical Society
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• v.36 no.4
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• pp.651-669
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• 2021

In this paper, we investigate some basic results on the slice regular Besov spaces of hyperholomorphic functions on the unit ball 𝔹. We also characterize the boundedness, compactness and find the essential norm estimates for composition operators between these spaces.

• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.319-331
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• 2019

On the weighted Dirichlet space, by the Sobolev's embedding theorem, we characterize the compactness for operators which are finite sums of products of several Toeplitz operators. Moreover, the essential spectrum of Toeplitz operator is characterized.

• Asia pacific journal of information systems
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• v.23 no.3
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• pp.105-129
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• 2013

This study draws important factors in electronic Word-of-Mouth (eWOM) and examines how these influence the building of customer loyalty. eWOM is viewed as social communication between customers and sellers, and thus the communicative action theory is applied. With the theory, we identify reviewer and seller as influential players on customers, and derive important factors such as correctness and veracity of reviews from the reviewers' action, and information compactness and adequacy from the seller's action. We propose these constructs as antecedents of customer loyalty and further hypothesize their curvilinear impacts as follows: the marginal impacts of veracity and correctness will decrease as veracity and correctness increase, and the marginal impacts of compactness and adequacy will increase as compactness and adequacy increase. The result indicates that only the seller's action has a curvilinear impact, whereas the reviewer has proportional positive impact on customer loyalty. This study indentifies important factors in eWOM from a critical social theory perspective and validates them using the positivistic approach. For practitioners, it discusses the important factors in eWOM with the identification of the individuals who are responsible for these factors.