• 대한수학회보
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• 제61권4호
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• pp.1137-1159
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• 2024

In the paper, we prove that if a continuous map of a compact uniform space is equicontinuous and pointwise topologically stable, then it is persistent. We also show that if a sequence of uniformly expansive continuous maps of a compact uniform space has a uniform limit and the uniform shadowing property, then the limit is topologically stable. In addition, we introduce the concepts of shadowable points and topologically stable points for a continuous map of a compact topological space and obtain that every shadowable point of an expansive continuous map of a compact topological space is topologically stable.

• Kyungpook Mathematical Journal
• /
• 제9권1_2호
• /
• pp.41-42
• /
• 1969

• Kyungpook Mathematical Journal
• /
• 제8권2호
• /
• pp.43-45
• /
• 1968

• 수학
• /
• 제2권1호
• /
• pp.3-4
• /
• 1965

• 대한수학회지
• /
• 제58권2호
• /
• pp.487-499
• /
• 2021

We prove a decay estimate for oscillatory integrals with Hölder amplitudes and polynomial phases. The estimate allows us to answer certain questions concerning the uniform boundedness of oscillatory singular integrals on various spaces.

• 대한수학회지
• /
• 제36권3호
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• pp.621-631
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• 1999

In this paper we briefly describe the geometry of the Cayley hyperbolic plane and we show that every uniform lattice in quaternionic space cannot be deformed in the Cayley hyperbolic 2-plane. We also describe the nongeometric bending deformation by developing the theory of the Cartan angular invariant for quaternionic hyperbolic space.

• East Asian mathematical journal
• /
• 제16권2호
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• pp.239-250
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• 2000

We study some properties of N-dichotomy for evolutionary process and generalize the theory of the uniform N-equistability using these properties.

• 대한수학회지
• /
• 제54권2호
• /
• pp.493-506
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• 2017

In this paper, we define the modulus of n-dimensional U-flatness as the determinant of an $(n+1){\times}(n+1)$ matrix. The properties of the modulus are investigated and the relationships between this modulus and other geometric parameters of Banach spaces are studied. Some results on fixed point theory for non-expansive mappings and normal structure in Banach spaces are obtained.

• 대한수학회보
• /
• 제52권5호
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• pp.1579-1586
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• 2015

In this paper we investigate the barrellednes of some spaces of X-valued measures, X being a barrelled normed space, and provide examples of non barrelled spaces of bounded linear operators from a Banach space X into a barrelled normed space Y, equipped with the uniform convergence topology.

• Kyungpook Mathematical Journal
• /
• 제16권1호
• /
• pp.63-69
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• 1976