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Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
The group of isometries and the structure of a finite-dimensional Banach space
No full textAbstractLet X be a finite-dimensional complex Banach space. The set G of all isometries on X is a compact Lie group. Let G0 be the identity component of G. Further, denote by H(X) the set of all Hermitian operators on X. It is shown that the space H(X)+iH(X) is an algebra if and only if there exists a system of r orthogonal non-zero Hermitian idempotents on X, where r=rankG0. An easy consequence of this theorem is a result of H. Schneider and R.E.L. Turner on matrices Hermitian for an absolute norm
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