Partial isometry and strongly EP elements
نویسندگان
چکیده
EP elements are important research objects in the ring theory. This paper mainly gives sufficient and necessary conditions for an element a to be element, partial isometry, strongly by using solutions of certain equations.
منابع مشابه
Partial isometries and EP elements in rings with involution
If R is a ring with involution, and a† is the Moore-Penrose inverse of a ∈ R, then the element a is called: EP, if aa† = a†a; partial isometry, if a∗ = a†; star-dagger, if a∗a† = a†a∗. In this paper, characterizations of partial isometries, EP elements and star-dagger elements in rings with involution are given. Thus, some well-known results are extended to more general settings.
متن کاملEla Partial Isometries and Ep Elements in Rings with Involution∗
∗Received by the editors June 1, 2009. Accepted for publication November 12, 2009. Handling Editor: Michael J. Tsatsomeros. †Faculty of Sciences and Mathematics, University of Nǐs, P.O. Box 224, 18000 Nǐs, Serbia ([email protected], [email protected]). Supported by the Ministry of Science, Republic of Serbia, grant no. 144003. Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the In...
متن کاملPartial Isometries and EP Elements in Banach Algebras
and Applied Analysis 3 The left multiplication by a ∈ A is the mapping La : A → A, which is defined as La x ax for all x ∈ A. Observe that, for a, b ∈ A, Lab LaLb and that La Lb implies a b. If a ∈ A is both Moore-Penrose and group invertible, then La† La † and La# La # in the Banach algebraL A . According to 4, Remark 12 , a necessary and sufficient condition for a ∈ A to be EP is that La ∈ L ...
متن کاملOn EP elements, normal elements and partial isometries in rings with involution
This is a continuation to the study of EP elements, normal elements and partial isometries in rings with involution. The aim of this paper is to give the negative solution to three conjectures on this subject. Moreover, some new characterizations of EP elements in rings with involution are presented.
متن کاملEla on Ep Elements, Normal Elements and Partial Isometries in Rings with Involution
This is a continuation to the study of EP elements, normal elements and partial isometries in rings with involution. The aim of this paper is to give the negative solution to three conjectures on this subject. Moreover, some new characterizations of EP elements in rings with involution are presented.
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ژورنال
عنوان ژورنال: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2106121c