Closed spectral measures in Fréchet spaces
Closed spectral measures, which are often used in the theory of operators, have the desirable property that their L1-space is complete. In this note criteria are given which assure the closedness of spectral measures acting in Fréchet spaces.
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000028 |
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| _version_ | 1849413432120442880 |
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| author | W. Ricker |
| author_facet | W. Ricker |
| author_sort | W. Ricker |
| collection | DOAJ |
| description | Closed spectral measures, which are often used in the theory of operators, have the desirable property that their L1-space is complete. In this note criteria are given which assure the closedness of spectral measures acting in Fréchet spaces. |
| format | Article |
| id | doaj-art-69b9e19a948444608f340dd5ce5680d2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-69b9e19a948444608f340dd5ce5680d22025-08-20T03:34:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-0171152110.1155/S0161171284000028Closed spectral measures in Fréchet spacesW. Ricker0Department of Pure Mathematics, The University of Adelaide, Adelaide 5000, S.A., AustraliaClosed spectral measures, which are often used in the theory of operators, have the desirable property that their L1-space is complete. In this note criteria are given which assure the closedness of spectral measures acting in Fréchet spaces.http://dx.doi.org/10.1155/S0161171284000028Fréchet spacespectral measureclosed measureprojective limit of measures. |
| spellingShingle | W. Ricker Closed spectral measures in Fréchet spaces International Journal of Mathematics and Mathematical Sciences Fréchet space spectral measure closed measure projective limit of measures. |
| title | Closed spectral measures in Fréchet spaces |
| title_full | Closed spectral measures in Fréchet spaces |
| title_fullStr | Closed spectral measures in Fréchet spaces |
| title_full_unstemmed | Closed spectral measures in Fréchet spaces |
| title_short | Closed spectral measures in Fréchet spaces |
| title_sort | closed spectral measures in frechet spaces |
| topic | Fréchet space spectral measure closed measure projective limit of measures. |
| url | http://dx.doi.org/10.1155/S0161171284000028 |
| work_keys_str_mv | AT wricker closedspectralmeasuresinfrechetspaces |