| Title:
|
On the numerical range of operators on locally and on H-locally convex spaces (English) |
| Author:
|
Kramar, Edvard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
229-237 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The spatial numerical range for a class of operators on locally convex space was studied by Giles, Joseph, Koehler and Sims in [3]. The purpose of this paper is to consider some additional properties of the numerical range on locally convex and especially on $\text{\rm H}$-locally convex spaces. (English) |
| Keyword:
|
locally convex space |
| Keyword:
|
$\text{\rm H}$-locally convex space |
| Keyword:
|
numerical range |
| Keyword:
|
spectrum |
| MSC:
|
46A13 |
| MSC:
|
46A19 |
| MSC:
|
47A12 |
| idZBL:
|
Zbl 0806.47003 |
| idMR:
|
MR1241732 |
| . |
| Date available:
|
2009-01-08T18:02:58Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118576 |
| . |
| Reference:
|
[1] Bonsal F.F., Duncan J.: Numerical range of operators on normed spaces and of elements of normed algebras.London Math. Soc. Lecture Note Series 2, Cambridge, 1971. MR 0288583 |
| Reference:
|
[2] Bonsal F.F., Duncan J.: Numerical ranges II.London Math. Soc. Lecture Note Series 10, Cambridge, 1973. MR 0442682 |
| Reference:
|
[3] Giles J.R., Joseph G., Koehler D.O., Sims B.: On numerical ranges of operators on locally convex spaces.J. Austral. Math. Soc. 20 (1975), 468-482. Zbl 0312.47002, MR 0385598 |
| Reference:
|
[4] Hildebrandt S.: Über den numerischen Werterbereich eines Operators.Math. Annalen 163 (1966), 230-247. MR 0200725 |
| Reference:
|
[5] Joseph G.A.: Boundedness and completeness in locally convex spaces and algebras.J. Austral. Math. Soc. 24 (1977), 50-63. Zbl 0367.46045, MR 0512300 |
| Reference:
|
[6] Kramar E.: Locally convex topological vector spaces with Hilbertian seminorms.Rev. Roum. Math. pures et Appl. 26 (1981), 55-62. Zbl 0457.46001, MR 0616022 |
| Reference:
|
[7] Kramar E.: Linear operators in $H$-locally convex spaces.ibid. 26 (1981), 63-77. Zbl 0457.46002, MR 0616023 |
| Reference:
|
[8] Precupanu T.: Sur les produits scalaires dans des espaces vectoriels topologiques.ibid. 13 (1968), 83-93. Zbl 0155.45201, MR 0235398 |
| . |
