A note on k-generalized projections

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• 作者：Leila Lebtahi ; Né ; stor Thome
• 关键词：Projections ; Normal matrices ; t-Potent matrices
• 刊名：Linear Algebra and its Applications
• 出版年：2007
• 出版时间：15 January 2007
• 年：2007
• 卷：420
• 期：2-3
• 页码：572-575
• 全文大小：96 K

文摘

In this note, we investigate characterizations for k-generalized projections (i.e., A^k = A^*) on Hilbert spaces. The obtained results generalize those for generalized projections on Hilbert spaces in [Hong-Ke Du, Yuan Li, The spectral characterization of generalized projections, Linear Algebra Appl. 400 (2005) 313–318] and those for matrices in [J. Benítez, N. Thome, Characterizations and linear combinations of k-generalized projectors, Linear Algebra Appl. 410 (2005) 150–159].