Pseudo-Generalized Inverse and Drazin Invertibility
Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new n...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lahmar, Asma [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2023 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Übergeordnetes Werk: |
Enthalten in: Results in mathematics - Springer International Publishing, 1984, 78(2023), 4 vom: 17. Apr. |
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volume:78 ; year:2023 ; number:4 ; day:17 ; month:04 |
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| DOI / URN: |
10.1007/s00025-023-01906-6 |
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| 520 | |a Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. | ||
| 650 | 4 | |a Pseudo-generalized inverse | |
| 650 | 4 | |a generalized inverse | |
| 650 | 4 | |a Drazin inverse | |
| 650 | 4 | |a normal operator | |
| 650 | 4 | |a right Drazin inverse | |
| 650 | 4 | |a left Drazin inverse | |
| 650 | 4 | |a Moore–Penrose inverse | |
| 650 | 4 | |a Moore–Penrose equations | |
| 650 | 4 | |a EP operator | |
| 700 | 1 | |a Skhiri, Haïkel |4 aut | |
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10.1007/s00025-023-01906-6 doi (DE-627)OLC2134483318 (DE-He213)s00025-023-01906-6-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Lahmar, Asma verfasserin aut Pseudo-Generalized Inverse and Drazin Invertibility 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. Pseudo-generalized inverse generalized inverse Drazin inverse normal operator right Drazin inverse left Drazin inverse Moore–Penrose inverse Moore–Penrose equations EP operator Skhiri, Haïkel aut Enthalten in Results in mathematics Springer International Publishing, 1984 78(2023), 4 vom: 17. Apr. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:78 year:2023 number:4 day:17 month:04 https://doi.org/10.1007/s00025-023-01906-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 78 2023 4 17 04 |
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10.1007/s00025-023-01906-6 doi (DE-627)OLC2134483318 (DE-He213)s00025-023-01906-6-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Lahmar, Asma verfasserin aut Pseudo-Generalized Inverse and Drazin Invertibility 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. Pseudo-generalized inverse generalized inverse Drazin inverse normal operator right Drazin inverse left Drazin inverse Moore–Penrose inverse Moore–Penrose equations EP operator Skhiri, Haïkel aut Enthalten in Results in mathematics Springer International Publishing, 1984 78(2023), 4 vom: 17. Apr. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:78 year:2023 number:4 day:17 month:04 https://doi.org/10.1007/s00025-023-01906-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 78 2023 4 17 04 |
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10.1007/s00025-023-01906-6 doi (DE-627)OLC2134483318 (DE-He213)s00025-023-01906-6-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Lahmar, Asma verfasserin aut Pseudo-Generalized Inverse and Drazin Invertibility 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. Pseudo-generalized inverse generalized inverse Drazin inverse normal operator right Drazin inverse left Drazin inverse Moore–Penrose inverse Moore–Penrose equations EP operator Skhiri, Haïkel aut Enthalten in Results in mathematics Springer International Publishing, 1984 78(2023), 4 vom: 17. Apr. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:78 year:2023 number:4 day:17 month:04 https://doi.org/10.1007/s00025-023-01906-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 78 2023 4 17 04 |
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10.1007/s00025-023-01906-6 doi (DE-627)OLC2134483318 (DE-He213)s00025-023-01906-6-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Lahmar, Asma verfasserin aut Pseudo-Generalized Inverse and Drazin Invertibility 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. Pseudo-generalized inverse generalized inverse Drazin inverse normal operator right Drazin inverse left Drazin inverse Moore–Penrose inverse Moore–Penrose equations EP operator Skhiri, Haïkel aut Enthalten in Results in mathematics Springer International Publishing, 1984 78(2023), 4 vom: 17. Apr. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:78 year:2023 number:4 day:17 month:04 https://doi.org/10.1007/s00025-023-01906-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 78 2023 4 17 04 |
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10.1007/s00025-023-01906-6 doi (DE-627)OLC2134483318 (DE-He213)s00025-023-01906-6-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Lahmar, Asma verfasserin aut Pseudo-Generalized Inverse and Drazin Invertibility 2023 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. Pseudo-generalized inverse generalized inverse Drazin inverse normal operator right Drazin inverse left Drazin inverse Moore–Penrose inverse Moore–Penrose equations EP operator Skhiri, Haïkel aut Enthalten in Results in mathematics Springer International Publishing, 1984 78(2023), 4 vom: 17. Apr. (DE-627)129571423 (DE-600)226632-5 (DE-576)015060160 1422-6383 nnns volume:78 year:2023 number:4 day:17 month:04 https://doi.org/10.1007/s00025-023-01906-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_4277 AR 78 2023 4 17 04 |
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Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Abstract This work deals with some generalizations of the Drazin invertibility, involving the pseudo-generalized invertibility that has been studied recently by the authors in Lahmar and Skhiri (Filomat 36:2551-2572, 2022) and Lahmar and Skhiri (Filomat 36:4575-4590, 2022). We also introduce a new notion of DPG inverse and the relationships between the notions of DPG inverse, Drazin inverse and EP operator, are studied in this paper. An application of DPG inverses to some operator equations is also provided. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Pseudo-Generalized Inverse and Drazin Invertibility |
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https://doi.org/10.1007/s00025-023-01906-6 |
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Skhiri, Haïkel |
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10.1007/s00025-023-01906-6 |
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2024-07-04T01:20:53.108Z |
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