Sur Les opérateurs n- hyponormaux
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Date
2022-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
UNIVERSITY of M'SILA
Abstract
Let H be a complex Hilbert space, and let B(H) denote the set of all bounded linear operators
on H.
For A 2 B(H), we denote by A
;the adjoint of A, For an operator A 2 B(H); letjAj = (A A)
1
2
and jA
j = (AA
)
1
2 :
For 0 < n 1, A is said to be n-hyponormal if :
jAj
2n jA
j
2n
:
When n = 1 and n =
1
2
, A is said to be hyponormal , respectively.
The main objective of this work is to give more informations on the basic properities of
n-hyponormaloperators
Description
Keywords
Hilbert space, operator, hyponormal, n-hyponormal .