About Riesz theory of compact operators
In this paper, it is shown that every compact operators are bounded and continuous. The bounded and continuous properties of an operator is sufficient for a Riesz operator. For mapping T: K-?I in normed linear space with some extended [1] properties, T becomes compact. DOI: http://dx.doi.org/10.3...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University
2012-12-01
|
| Series: | Bibechana |
| Subjects: | |
| Online Access: | https://www.nepjol.info/index.php/BIBECHANA/article/view/7186 |
| _version_ | 1831887588758126592 |
|---|---|
| author | Nagendra Pd Sah |
| author_facet | Nagendra Pd Sah |
| author_sort | Nagendra Pd Sah |
| collection | DOAJ |
| description |
In this paper, it is shown that every compact operators are bounded and continuous. The bounded and continuous properties of an operator is sufficient for a Riesz operator. For mapping T: K-?I in normed linear space with some extended [1] properties, T becomes compact.
DOI: http://dx.doi.org/10.3126/bibechana.v9i0.7186
BIBECHANA 9 (2013) 126-129
|
| first_indexed | 2024-04-24T05:48:49Z |
| format | Article |
| id | doaj.art-3611c0762b324b81873c31b50ecfc1ca |
| institution | Directory Open Access Journal |
| issn | 2091-0762 2382-5340 |
| language | English |
| last_indexed | 2025-03-22T00:04:59Z |
| publishDate | 2012-12-01 |
| publisher | Department of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan University |
| record_format | Article |
| series | Bibechana |
| spelling | doaj.art-3611c0762b324b81873c31b50ecfc1ca2024-05-16T13:06:52ZengDepartment of Physics, Mahendra Morang Adarsh Multiple Campus, Tribhuvan UniversityBibechana2091-07622382-53402012-12-01910.3126/bibechana.v9i0.7186About Riesz theory of compact operatorsNagendra Pd Sah0Department of Mathematics, M.M.A.M. Campus (Tribhuvan University) Biratnagar In this paper, it is shown that every compact operators are bounded and continuous. The bounded and continuous properties of an operator is sufficient for a Riesz operator. For mapping T: K-?I in normed linear space with some extended [1] properties, T becomes compact. DOI: http://dx.doi.org/10.3126/bibechana.v9i0.7186 BIBECHANA 9 (2013) 126-129 https://www.nepjol.info/index.php/BIBECHANA/article/view/7186Chain lengthRiesz operatorsRelatively regular operator |
| spellingShingle | Nagendra Pd Sah About Riesz theory of compact operators Bibechana Chain length Riesz operators Relatively regular operator |
| title | About Riesz theory of compact operators |
| title_full | About Riesz theory of compact operators |
| title_fullStr | About Riesz theory of compact operators |
| title_full_unstemmed | About Riesz theory of compact operators |
| title_short | About Riesz theory of compact operators |
| title_sort | about riesz theory of compact operators |
| topic | Chain length Riesz operators Relatively regular operator |
| url | https://www.nepjol.info/index.php/BIBECHANA/article/view/7186 |
| work_keys_str_mv | AT nagendrapdsah aboutriesztheoryofcompactoperators |