ON n-POWER NORMAL OPERATORS

Adnan Abdelqader Jibril

ON n-POWER NORMAL OPERATORS

Adnan Abdelqader Jibril

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce the class of n-power normal operators, and prove that an operator T is an element of L(H) is n-power normal if and only if T-n is normal; if and only if parallel to T(n)x parallel to = parallel to(T-n)*(x)parallel to for all x is an element of H. We give some properties of these operators in general, and also study the special case when an operator is n-power normal for n = 2, 3.

Original language	English
Journal	SPRINGER HEIDELBERG
State	Published - 2008

Cite this

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title = "ON n-POWER NORMAL OPERATORS",

abstract = "We introduce the class of n-power normal operators, and prove that an operator T is an element of L(H) is n-power normal if and only if T-n is normal; if and only if parallel to T(n)x parallel to = parallel to(T-n)*(x)parallel to for all x is an element of H. We give some properties of these operators in general, and also study the special case when an operator is n-power normal for n = 2, 3.",

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TY - JOUR

T1 - ON n-POWER NORMAL OPERATORS

AU - Jibril, Adnan Abdelqader

PY - 2008

Y1 - 2008

N2 - We introduce the class of n-power normal operators, and prove that an operator T is an element of L(H) is n-power normal if and only if T-n is normal; if and only if parallel to T(n)x parallel to = parallel to(T-n)*(x)parallel to for all x is an element of H. We give some properties of these operators in general, and also study the special case when an operator is n-power normal for n = 2, 3.

AB - We introduce the class of n-power normal operators, and prove that an operator T is an element of L(H) is n-power normal if and only if T-n is normal; if and only if parallel to T(n)x parallel to = parallel to(T-n)*(x)parallel to for all x is an element of H. We give some properties of these operators in general, and also study the special case when an operator is n-power normal for n = 2, 3.

M3 - Article

SN - 1319-8025

JO - SPRINGER HEIDELBERG

JF - SPRINGER HEIDELBERG

ER -

ON n-POWER NORMAL OPERATORS

Abstract

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