On the numerical range of operators on locally and on H-locally convex spaces
Commentationes Mathematicae Universitatis Carolinae (1993)
- Volume: 34, Issue: 2, page 229-237
- ISSN: 0010-2628
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topKramar, Edvard. "On the numerical range of operators on locally and on H-locally convex spaces." Commentationes Mathematicae Universitatis Carolinae 34.2 (1993): 229-237. <http://eudml.org/doc/247487>.
@article{Kramar1993,
abstract = {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.},
author = {Kramar, Edvard},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {locally convex space; $\text\{\rm H\}$-locally convex space; numerical range; spectrum; spatial numerical range; H-locally convex spaces},
language = {eng},
number = {2},
pages = {229-237},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the numerical range of operators on locally and on H-locally convex spaces},
url = {http://eudml.org/doc/247487},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Kramar, Edvard
TI - On the numerical range of operators on locally and on H-locally convex spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 2
SP - 229
EP - 237
AB - 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.
LA - eng
KW - locally convex space; $\text{\rm H}$-locally convex space; numerical range; spectrum; spatial numerical range; H-locally convex spaces
UR - http://eudml.org/doc/247487
ER -
References
top- 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. MR0288583
- Bonsal F.F., Duncan J., Numerical ranges II, London Math. Soc. Lecture Note Series 10, Cambridge, 1973. MR0442682
- 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. (1975) Zbl0312.47002MR0385598
- Hildebrandt S., Über den numerischen Werterbereich eines Operators, Math. Annalen 163 (1966), 230-247. (1966) MR0200725
- Joseph G.A., Boundedness and completeness in locally convex spaces and algebras, J. Austral. Math. Soc. 24 (1977), 50-63. (1977) Zbl0367.46045MR0512300
- Kramar E., Locally convex topological vector spaces with Hilbertian seminorms, Rev. Roum. Math. pures et Appl. 26 (1981), 55-62. (1981) Zbl0457.46001MR0616022
- Kramar E., Linear operators in -locally convex spaces, ibid. 26 (1981), 63-77. (1981) Zbl0457.46002MR0616023
- Precupanu T., Sur les produits scalaires dans des espaces vectoriels topologiques, ibid. 13 (1968), 83-93. (1968) Zbl0155.45201MR0235398
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