SONG Manlin, XIANG Zhang, TAO Tanghong. Joint spectrum of tuples of idempotents[J]. Journal of Neijiang Normal University, 2023, 38(6): 50-55. DOI: 10.13603/j.cnki.51-1621/z.2023.06.009
Citation:
SONG Manlin, XIANG Zhang, TAO Tanghong. Joint spectrum of tuples of idempotents[J]. Journal of Neijiang Normal University, 2023, 38(6): 50-55. DOI: 10.13603/j.cnki.51-1621/z.2023.06.009
SONG Manlin, XIANG Zhang, TAO Tanghong. Joint spectrum of tuples of idempotents[J]. Journal of Neijiang Normal University, 2023, 38(6): 50-55. DOI: 10.13603/j.cnki.51-1621/z.2023.06.009
Citation:
SONG Manlin, XIANG Zhang, TAO Tanghong. Joint spectrum of tuples of idempotents[J]. Journal of Neijiang Normal University, 2023, 38(6): 50-55. DOI: 10.13603/j.cnki.51-1621/z.2023.06.009
By reducing the problem to the calculation of the joint spectrum of a projection
Pand an idempotent
Q, the joint spectrum of two idempotents is obtained. First the joint spectrum of
Pand the range projection of
Q, which is of a special case, was calculated and then the joint spectrum in general case. The joint spectrum of
I,
P,
Qis also discussed. Through this special case of joint spectrum, the spectrum of
P+
Qand
P-
Qare characterized.
DownLoad: