대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제39권1호
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  • Pages.137-147
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  • 2024
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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THE CLASS OF p-DEMICOMPACT OPERATORS ON LATTICE NORMED SPACES

  • Imen Ferjani (Department of Mathematics University of Sfax Faculty of Sciences of Sfax) ;
  • Bilel Krichen (Department of Mathematics University of Sfax Faculty of Sciences of Sfax)
  • 투고 : 2023.05.11
  • 심사 : 2023.08.18
  • 발행 : 2024.01.31
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초록

In the present paper, we introduce a new class of operators called p-demicompact operators between two lattice normed spaces X and Y. We study the basic properties of this class. Precisely, we give some conditions under which a p-bounded operator be p-demicompact. Also, a sufficient condition is given, under which each p-demicompact operator has a modulus which is p-demicompact. Further, we put in place some properties of this class of operators on lattice normed spaces.

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참고문헌

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