Spatial numerical ranges of elements of subalgebras of C0(X)
When A is a subalgebra of the commutative Banach algebra C0(X) of all continuous complex-valued functions on a locally compact Hausdorff space X, the spatial numerical range of element of A can be described in terms of positive measures.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200003148 |
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| _version_ | 1832563096093196288 |
|---|---|
| author | Sin-Ei Takahasi |
| author_facet | Sin-Ei Takahasi |
| author_sort | Sin-Ei Takahasi |
| collection | DOAJ |
| description | When A is a subalgebra of the commutative Banach algebra
C0(X) of all continuous complex-valued functions on a locally
compact Hausdorff space X, the spatial numerical range of
element of A can be described in terms of positive measures. |
| format | Article |
| id | doaj-art-7bdefd16cca34c1bade10e7c4b3ec5f4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7bdefd16cca34c1bade10e7c4b3ec5f42025-02-03T01:20:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231282783110.1155/S0161171200003148Spatial numerical ranges of elements of subalgebras of C0(X)Sin-Ei Takahasi0Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yonezawa 992-8510, JapanWhen A is a subalgebra of the commutative Banach algebra C0(X) of all continuous complex-valued functions on a locally compact Hausdorff space X, the spatial numerical range of element of A can be described in terms of positive measures.http://dx.doi.org/10.1155/S0161171200003148Numerical rangespatial numerical range. |
| spellingShingle | Sin-Ei Takahasi Spatial numerical ranges of elements of subalgebras of C0(X) International Journal of Mathematics and Mathematical Sciences Numerical range spatial numerical range. |
| title | Spatial numerical ranges of elements of
subalgebras of C0(X) |
| title_full | Spatial numerical ranges of elements of
subalgebras of C0(X) |
| title_fullStr | Spatial numerical ranges of elements of
subalgebras of C0(X) |
| title_full_unstemmed | Spatial numerical ranges of elements of
subalgebras of C0(X) |
| title_short | Spatial numerical ranges of elements of
subalgebras of C0(X) |
| title_sort | spatial numerical ranges of elements of subalgebras of c0 x |
| topic | Numerical range spatial numerical range. |
| url | http://dx.doi.org/10.1155/S0161171200003148 |
| work_keys_str_mv | AT sineitakahasi spatialnumericalrangesofelementsofsubalgebrasofc0x |