• 대한수학회보
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• 제36권4호
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• pp.747-754
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• 1999

We compute the mod p homology of the double loop space of Sp(n)/U(n) by the Serre spectral sequence and the Eilenberg-Moore spectral sequence with the homology operations.

• 호남수학학술지
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• 제41권4호
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• pp.725-744
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• 2019

In this paper we introduce some new types of double difference sequence spaces defined by a new definition of convergence of double sequences and a double series with the help of sequence of Orlicz functions and a four dimensional bounded regular matrices A = (a_rtkl). We also make an effort to study some topological properties and inclusion relations between these sequence spaces. Finally, we compute the closed ideals in the space 𝑙²_∞.

• 대한수학회보
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• 제40권2호
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• pp.281-288
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• 2003

We compute the mod p homology of the double loop space of 50(2n)/U(n) by the Serre spectral sequence of Hopf algebras. We also obtain the torsion information of the integral homology.

• Kyungpook Mathematical Journal
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• 제58권2호
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• pp.271-289
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• 2018

Let 0 < q < ${\infty}$. In this study, we introduce the spaces ${\mathcal{BV}}_q$ and ${\mathcal{LS}}_q$ of q-bounded variation double sequences and q-summable double series as the domain of four-dimensional backward difference matrix ${\Delta}$ and summation matrix S in the space ${\mathcal{L}}_q$ of absolutely q-summable double sequences, respectively. Also, we determine their ${\alpha}$- and ${\beta}-duals$ and give the characterizations of some classes of four-dimensional matrix transformations in the case 0 < q ${\leq}$ 1.

• Journal of applied mathematics & informatics
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• 제41권3호
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• pp.541-552
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• 2023

In 2005, Patterson studied lacunary statistical convergence of double sequences of real numbers and, in 2009, Mursaleen introduced notion of lacunary statistical convergence of single sequences in intuitionistic fuzzy normed space. The current work intends to investigate the lacunary statistical convergence of double sequences and some significant conclusions on the algebra of the lacunary statistical limit of double sequences in intuitionistic fuzzy normed space. In addition, we have studied some examples to support the definitions.

• Kyungpook Mathematical Journal
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• 제52권2호
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• pp.189-200
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• 2012

In this article we introduce the class of I-convergent double sequences of fuzzy real numbers. We have studied different properties like solidness, symmetricity, monotone, sequence algebra etc. We prove that the class of I-convergent double sequences of fuzzy real numbers is a complete metric spaces.

• Korean Journal of Mathematics
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• 제28권2호
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• pp.361-378
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• 2020

The most apparent aspect of the present study is to introduce a new sequence space 𝚽^⋆(𝓛_p) derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the α-, β(bp)- and γ-duals of the space 𝚽^⋆(𝓛_p) are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.

• Kyungpook Mathematical Journal
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• 제52권2호
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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.

• 대한수학회지
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• 제39권1호
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• pp.149-161
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• 2002

We study the torsions in the integral homology of the double loop space of the compact simple Lie groups by determining the higher Bockstein actions on the homology of those spaces through the Bockstein lemma and computing the Bockstein spectral sequence.

• 한국인터넷방송통신학회논문지
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• 제9권2호
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• pp.117-122
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• 2009

본 논문에서는 다중 안테나 (Multiple-Antenna)를 적용한 초광대역 무선통신 (UWB: Ultra Wide-Band) 시스템에서 이중 이진 터보 부호의 성능을 보인다. 본 논문에서는 PPM-TH (Pulse Position Modulation-Time Hopping) 방식과 PAM-DS (Pulse Amplitude Modulation-Direct Sequence) 방식의 UWB 시스템을 모두 고려하였으며, 다중 안테나 기술로 시공간 블록 부호 (STBC : Space Time Block Code) 송신 다이버시티와 수신 다이버시티 기술을 적용하였다. 그리고 이진 터보 부호에 비해서 부호어 사이의 최소 거리 (Minimum Distance)가 길어서 복호 성능이 좋으며 처리량 (Throughput)이 높아서 복호 처리 시간이 짧은 장점을 가지고 있는 이진 이중 터보 부호를 적용하였다. 본 논문의 결과는 UWB 시스템을 구현하는데 적용될 수 있다.