Abstract Weyl-type theorems
In this paper, we give a new approach to the study of Weyl-type theorems. Precisely, we introduce the concepts of spectral valued and spectral partitioning functions. Using two natural order relations on the set of spectral valued functions, we reduce the question of relationship between Weyl-type t...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2016-12-01
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| Series: | Mathematica Bohemica |
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| Online Access: | http://mb.math.cas.cz/full/141/4/mb141_4_7.pdf |
| _version_ | 1811222534127878144 |
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| author | Mohammed Berkani |
| author_facet | Mohammed Berkani |
| author_sort | Mohammed Berkani |
| collection | DOAJ |
| description | In this paper, we give a new approach to the study of Weyl-type theorems. Precisely, we introduce the concepts of spectral valued and spectral partitioning functions. Using two natural order relations on the set of spectral valued functions, we reduce the question of relationship between Weyl-type theorems to the study of the set difference between the parts of the spectrum that are involved. This study solves completely the question of relationship between two spectral valued functions, comparable for one or the other order relation. Then several known results about Weyl-type theorems become corollaries of the results obtained. |
| first_indexed | 2024-04-12T08:17:26Z |
| format | Article |
| id | doaj.art-3e00633db092450db12d897aed2cb2ee |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-04-12T08:17:26Z |
| publishDate | 2016-12-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-3e00633db092450db12d897aed2cb2ee2022-12-22T03:40:42ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362016-12-01141449550810.21136/MB.2016.0046-14MB.2016.0046-14Abstract Weyl-type theoremsMohammed BerkaniIn this paper, we give a new approach to the study of Weyl-type theorems. Precisely, we introduce the concepts of spectral valued and spectral partitioning functions. Using two natural order relations on the set of spectral valued functions, we reduce the question of relationship between Weyl-type theorems to the study of the set difference between the parts of the spectrum that are involved. This study solves completely the question of relationship between two spectral valued functions, comparable for one or the other order relation. Then several known results about Weyl-type theorems become corollaries of the results obtained.http://mb.math.cas.cz/full/141/4/mb141_4_7.pdf spectral valued function partitioning spectrum Weyl-type theorem |
| spellingShingle | Mohammed Berkani Abstract Weyl-type theorems Mathematica Bohemica spectral valued function partitioning spectrum Weyl-type theorem |
| title | Abstract Weyl-type theorems |
| title_full | Abstract Weyl-type theorems |
| title_fullStr | Abstract Weyl-type theorems |
| title_full_unstemmed | Abstract Weyl-type theorems |
| title_short | Abstract Weyl-type theorems |
| title_sort | abstract weyl type theorems |
| topic | spectral valued function partitioning spectrum Weyl-type theorem |
| url | http://mb.math.cas.cz/full/141/4/mb141_4_7.pdf |
| work_keys_str_mv | AT mohammedberkani abstractweyltypetheorems |