In this paper we describe the multiplier algebra of a perfect complete locally $m$-convex algebra with an approximate identity and with complete Arens-Michael normed factors.
References
M. Haralampidou, The Krull nature of locally $C^{\ast }$ -algebras, Function Spaces (Edwardsville, IL, 2002), 195–200, Contemp. Math. 328, Amer. Math. Soc., Providence, RI, 2003. MR1990401 M. Haralampidou, The Krull nature of locally $C^{\ast }$ -algebras, Function Spaces (Edwardsville, IL, 2002), 195–200, Contemp. Math. 328, Amer. Math. Soc., Providence, RI, 2003. MR1990401
M. Haralampidou, L. Palacios and C. Signoret, Multipliers in locally convex $^{\ast}$-algebras, Rocky Mountain J. Math. 43, No. 6, 2013, 1931–1940. MR3178450 10.1216/RMJ-2013-43-6-1931 euclid.rmjm/1393336663
M. Haralampidou, L. Palacios and C. Signoret, Multipliers in locally convex $^{\ast}$-algebras, Rocky Mountain J. Math. 43, No. 6, 2013, 1931–1940. MR3178450 10.1216/RMJ-2013-43-6-1931 euclid.rmjm/1393336663