Mind Duggal transforms
Filomat, Tome 33 (2019) no. 18, p. 5863
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It is known that if an operator T is complex symmetric then its Aluthge transform is also complex symmetric. This Note is devoted to showing that the Duggal transform doesn’t inherit this property. For instance, we’ll show that the Duggal transform isn’t always complex symmetric when T is, as it was claimed in [5]
Classification :
47A05, 47A10, 47A11
Keywords: Aluthge transform, complex symmetric operator, Duggal transform
Keywords: Aluthge transform, complex symmetric operator, Duggal transform
Chafiq Benhida. Mind Duggal transforms. Filomat, Tome 33 (2019) no. 18, p. 5863 . doi: 10.2298/FIL1918863B
@article{10_2298_FIL1918863B,
author = {Chafiq Benhida},
title = {Mind {Duggal} transforms},
journal = {Filomat},
pages = {5863 },
year = {2019},
volume = {33},
number = {18},
doi = {10.2298/FIL1918863B},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1918863B/}
}
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