On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators
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Springer
2025
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| Acceso en línea: | http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2331 |
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I71-R177-UNGS-23312025-07-24T18:03:42Z On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators Conde, Cristian Marcelo Feki, Kais Positive Operator Joint Numerical Radius Normal Operator 2x2 Operator Matrices Matemáticas Matemática Pura Revista con referato Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto Argentino de Matemática Alberto Calderón; Argentina. Fil: Feki, Kais. University of Monastir; Túnez. Fil: Feki, Kais. University of Sfax; Túnez. Let A be a positive (semidefinite) bounded linear operator on a complex Hilbert space (H, ⟨ · , · ⟩). The semi-inner product induced by A is defined by ⟨ x, y⟩ A: = ⟨ Ax, y⟩ for all x, y∈ H and defines a seminorm ‖ · ‖ A on H. This makes H into a semi-Hilbert space. For p∈ [1 , + ∞) , the generalized A-joint numerical radius of a d-tuple of operators T= (T1, … , Td) is given by ωA,p(T)=sup‖x‖A=1(∑k=1d|〈Tkx,x〉A|p)1p.Our aim in this paper is to establish several bounds involving ωA,p(·). In particular, under suitable conditions on the operators tuple T, we generalize the well-known inequalities due to Kittaneh (Studia Math 168(1):73–80, 2005). 2025-07-24T18:00:32Z 2025-07-24T18:00:32Z 2021 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Conde, C. M. y Feki, K. (2021). On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators. Ricerche di Matematica, 76, 661–679. 0035-5038 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2331 eng https://doi.org/10.1007/s11587-021-00629-6 info:eu-repo/semantics/restrictedAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Springer Ricerche di Matematica. Ago. 2021; 76: 661–679 |
| institution |
Universidad Nacional de General Sarmiento |
| institution_str |
I-71 |
| repository_str |
R-177 |
| collection |
Repositorio Institucional Digital de Acceso Abierto (UNGS) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
Positive Operator Joint Numerical Radius Normal Operator 2x2 Operator Matrices Matemáticas Matemática Pura |
| spellingShingle |
Positive Operator Joint Numerical Radius Normal Operator 2x2 Operator Matrices Matemáticas Matemática Pura Conde, Cristian Marcelo Feki, Kais On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators |
| topic_facet |
Positive Operator Joint Numerical Radius Normal Operator 2x2 Operator Matrices Matemáticas Matemática Pura |
| description |
Revista con referato |
| format |
Artículo Artículo publishedVersion |
| author |
Conde, Cristian Marcelo Feki, Kais |
| author_facet |
Conde, Cristian Marcelo Feki, Kais |
| author_sort |
Conde, Cristian Marcelo |
| title |
On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators |
| title_short |
On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators |
| title_full |
On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators |
| title_fullStr |
On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators |
| title_full_unstemmed |
On some inequalities for the generalized joint numerical radius of semi-Hilbert space operators |
| title_sort |
on some inequalities for the generalized joint numerical radius of semi-hilbert space operators |
| publisher |
Springer |
| publishDate |
2025 |
| url |
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2331 |
| work_keys_str_mv |
AT condecristianmarcelo onsomeinequalitiesforthegeneralizedjointnumericalradiusofsemihilbertspaceoperators AT fekikais onsomeinequalitiesforthegeneralizedjointnumericalradiusofsemihilbertspaceoperators |
| _version_ |
1842217799936638976 |