On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations
This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/890657 |
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| _version_ | 1832560941982547968 |
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| author | M. De la Sen |
| author_facet | M. De la Sen |
| author_sort | M. De la Sen |
| collection | DOAJ |
| description | This paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases. |
| format | Article |
| id | doaj-art-523b5bfdbbf7499b8291500d6d94a05c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-523b5bfdbbf7499b8291500d6d94a05c2025-02-03T01:26:15ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/890657890657On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range TruncationsM. De la Sen0Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus de Leioa, P.O. Box 644, 48080 Bilbao, SpainThis paper investigates a class of self-adjoint compact operators in Hilbert spaces related to their truncated versions with finite-dimensional ranges. The comparisons are established in terms of worst-case norm errors of the composite operators generated from iterated computations. Some boundedness properties of the worst-case norms of the errors in their respective fixed points in which they exist are also given. The iterated sequences are expanded in separable Hilbert spaces through the use of numerable orthonormal bases.http://dx.doi.org/10.1155/2013/890657 |
| spellingShingle | M. De la Sen On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations Abstract and Applied Analysis |
| title | On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations |
| title_full | On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations |
| title_fullStr | On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations |
| title_full_unstemmed | On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations |
| title_short | On a Class of Self-Adjoint Compact Operators in Hilbert Spaces and Their Relations with Their Finite-Range Truncations |
| title_sort | on a class of self adjoint compact operators in hilbert spaces and their relations with their finite range truncations |
| url | http://dx.doi.org/10.1155/2013/890657 |
| work_keys_str_mv | AT mdelasen onaclassofselfadjointcompactoperatorsinhilbertspacesandtheirrelationswiththeirfiniterangetruncations |