Fuglede's Commutativity Theorem and ∩ R(T - λ)
Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 331-334
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Fuglede's commutativity theorem for normal operators is an easy consequence of the result that: For T normal, denoting the range of T - λ by R(T - λ), ∩ {R(T - λ) : all λ} = {0}:
Whitley, Robert. Fuglede's Commutativity Theorem and ∩ R(T - λ). Canadian mathematical bulletin, Tome 33 (1990) no. 3, pp. 331-334. doi: 10.4153/CMB-1990-055-9
@article{10_4153_CMB_1990_055_9,
author = {Whitley, Robert},
title = {Fuglede's {Commutativity} {Theorem} and \ensuremath{\cap} {R(T} - \ensuremath{\lambda})},
journal = {Canadian mathematical bulletin},
pages = {331--334},
year = {1990},
volume = {33},
number = {3},
doi = {10.4153/CMB-1990-055-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-055-9/}
}
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