Geodesic
Generalized Cesàro Matrices
Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 417-422

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DOI

For α ∈ [0, 1] the operator is the operator formally defined on the Hardy space H2 by If α = 1, then the usual identification of H2 with l2 takes A 1 onto the discrete Cesàro operator. Here we see that {A α : α ∈ [0, 1]} is not arcwise connected, that Re A α ≥ 0, that A α is a Hilbert-Schmidt operator if α ∈[0, 1), and that A α is neither normaloid nor spectraloid if α ∈(0, 1).
DOI : 10.4153/CMB-1984-064-5
Mots-clés : 47B99, 47A12, 47B10, 47B38, Cesàro operator, Hilbert-Schmidt operator, numerical range 
Jr, H. C. Rhaly. Generalized Cesàro Matrices. Canadian mathematical bulletin, Tome 27 (1984) no. 4, pp. 417-422. doi: 10.4153/CMB-1984-064-5
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     title = {Generalized {Ces\`aro} {Matrices}},
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     year = {1984},
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     doi = {10.4153/CMB-1984-064-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-064-5/}
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