Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
-
Tangjie Hu
,
Jiaqi Li
,
Qiuyu Wang
and
Junchao Wei
Abstract
This paper mainly gives some sufficient and necessary conditions for an element in a ring to be
Funding statement: Project was supported by the Yangzhou University students science and technology innovation fund project (X20210224) and Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (PPZY2015B109).
Acknowledgements
We would like to express our sincere gratitude to the editor and anonymous reviewers for their valuable comments, which have essentially improved this paper.
References
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Articles in the same Issue
- Frontmatter
- The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On Busemann–Feller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- 𝐿𝑝(⋅) − 𝐿𝑞(⋅) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras
Articles in the same Issue
- Frontmatter
- The second cohomology spaces of 𝒦(1) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on S 1|1
- On completely non-Baire unions in category bases
- Square-free values of n 2 + n + 1
- The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition
- Sign-changing solutions for parametric Neumann problems with broken symmetry and arbitrary growth
- The triharmonic equation on the Heisenberg group
- On Busemann–Feller extensions of translation invariant density differentiation bases
- Multiplicative bi-skew Jordan triple derivations on prime ∗-algebra
- Nonmeasurable products of absolutely negligible sets in uncountable solvable groups
- The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
- On the stochastic integral representation of Brownian functionals
- Generalized Bessel matrix functions
- Degenerate time-fractional diffusion equation with initial and initial-boundary conditions
- Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution
- 𝐿𝑝(⋅) − 𝐿𝑞(⋅) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension
- Tilting pairs and Wakamatsu tilting subcategories over triangular matrix algebras
