On the algebra range of an operator on a Hilbert <IMG BORDER="0" SRC="/proc/2003-131-10/S0002-9939-03-07130-2/gif-title0/img1.gif" >-module over compact operators期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On the algebra range of an operator on a Hilbert -module over compact operators

Authors:	Rajna Rajic

Institution:	Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia

Abstract:	Let be a Hilbert -module over the -algebra of all compact operators on a complex Hilbert space . Given an orthogonal projection $p \in K(H)$ , we describe the set $V^n(A) = \{\langle Ax,x\rangle \,\,:\,\,x\in X,\,\,\langle x,x \rangle =p\}$ for an arbitrary adjointable operator $A\in B(X)$ . The relationship between the set and the matricial range of is established.

Keywords:	$C^$-algebra Hilbert $C^$-module adjointable operator matricial range of an operator

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