한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제25권2호
  • /
  • Pages.171-180
  • /
  • 2018
  • /
  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지
DOI QR코드

DOI QR Code

BIPROJECTIVITY OF MATRIX BANACH ALGEBRAS WITH APPLICATION TO COMPACT GROUPS

  • Habibian, Fereidoun (Faculty of mathematics, statistics and computer science, Semnan University) ;
  • Noori, Razieh (Faculty of mathematics, statistics and computer science, Semnan University)
  • 투고 : 2018.01.28
  • 심사 : 2018.04.19
  • 발행 : 2018.05.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, the necessary and sufficient conditions are considered for biprojectivity of Banach algebras $E_p(I)$. As an application, we investigate biprojectivity of convolution Banach algebras A(G) and $L^2(G)$ on a compact group G.

키워드

참고문헌

  1. H.G. Dales: Banach Algebras and Automatic Continuity. London Math. Soc. Monogr. Ser. Princeton Univ. Press, Princeton, 2000.
  2. G.B. Folland: A course in abstract harmonic analysis. CRC Press, Tokyo, 1970.
  3. I.C. Gohberg & M.G. Krein: Introduction to the theory of linear non-selfadjoint operators on Hilbert spaces. Amer. Math. Soc. Transl. Ser. 2, 1965.
  4. E. Hewitt & K.A.E. Ross: Abstract harmonic analysis. Vol. II, Springer, Berlin, 1970.
  5. M. Lashkarizadeh Bami & H. Samea: Amenability and essential amenability of certain Banach algebras. Studia Sci. Math. Hungar. 44 (2007), no. 3, 377-390. https://doi.org/10.1556/SScMath.2007.1025
  6. C.C. Moore: Groups with finite dimensional irreducible representations. Trans. Amer. Math. Soc. 166 (1972), 401-410. https://doi.org/10.1090/S0002-9947-1972-0302817-8
  7. V. Runde: Lectures on amenability. Lecture Notes in Math. Vol. 1774, Springer, Heidelberg, 2002.
  8. H. Samea: Derivations on matrix algebras with applications to harmonic analysis. Taiwanese J. Math. 15 (2011), no. 6, 2667-2687. https://doi.org/10.11650/twjm/1500406490