Molnár, Lajos On \(A\)-linear operators on a Hilbert \(A\)-module. (English) Zbl 0953.46025 Rad. Mat. 8(1992), No. 1, 135-138 (1996). Summary: The aim of this note is to prove that on every Hilbert \(A\)-module \(H\) over a proper \(\text{H}^*\)-algebra \(A\), the \(p\)-norms of Smith \((1\leq p\leq\infty)\) induce the same bounded \(A\)-operators with the same bounds. MSC: 46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 46C99 Inner product spaces and their generalizations, Hilbert spaces 46K15 Hilbert algebras Keywords:\(p\)-classes; Hilbert \(A\)-module; proper \(\text{H}^*\)-algebra; \(p\)-norms of Smith; bounded \(A\)-operators PDFBibTeX XMLCite \textit{L. Molnár}, Rad. Mat. 8, No. 1, 135--138 (1996; Zbl 0953.46025)