Square roots and quasi-square roots in locally multiplicatively convex algebras
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika (1980)
- Volume: 19, Issue: 1, page 103-110
- ISSN: 0231-9721
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topŠtěrbová, Dina. "Square roots and quasi-square roots in locally multiplicatively convex algebras." Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika 19.1 (1980): 103-110. <http://eudml.org/doc/23374>.
@article{Štěrbová1980,
author = {Štěrbová, Dina},
journal = {Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika},
keywords = {existence of quasi-square root; complete locally multiplicatively convex algebra; involution},
language = {eng},
number = {1},
pages = {103-110},
publisher = {Palacký University Olomouc},
title = {Square roots and quasi-square roots in locally multiplicatively convex algebras},
url = {http://eudml.org/doc/23374},
volume = {19},
year = {1980},
}
TY - JOUR
AU - Štěrbová, Dina
TI - Square roots and quasi-square roots in locally multiplicatively convex algebras
JO - Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
PY - 1980
PB - Palacký University Olomouc
VL - 19
IS - 1
SP - 103
EP - 110
LA - eng
KW - existence of quasi-square root; complete locally multiplicatively convex algebra; involution
UR - http://eudml.org/doc/23374
ER -
References
top- Bonsall F. F., Duncan J., Complete Normed Algebras, Springer-Verlag 1973. (1973) Zbl0271.46039MR0423029
- Ford J. W. M., A square root lemma for Banach star algebras, J. Lond. Math. Soc. 42, p. 521-522 (1967). (1967) MR0215107
- Michael E. A., Locally Multiplicatively-convex Topological Algebras, Memoirs of AMS nb 11 1952. (1952) Zbl0047.35502MR0051444
- Najmark M. A., Normirovannyje koľca, Moskva 1968. (1968)
- Pták V., Banach Algebras with involution, manuscripta math. 6, p. 245--290 (1972), Springer-Verlag. (1972) Zbl0304.46036MR0296705
- Pták V., On the spectral radius in Banach algebras with involution, Bull. Lond. Math. Soc. 2, p. 327-334(1970). (1970) MR0275175
- Sa-do-šin, O polunormirovannych koľcach s involuciej, Izv. Ak. Nauk SSSR 23 (1959) 509-529. (1959)
- Wenjen, Ch., On seminormed star algebras, Proc. J. Math. 8 (1958), p. 177-186. (1958)
- Zelazko W., Selected Topics in Topological Algebras, Lecture Notes Series N. 31 (1971), AArhus University. (1971) Zbl0221.46041MR0448080
- Zelazko W., Algebry Banacha, Warzsawa 1966. (1966)
Citations in EuDML Documents
top- Dina Štěrbová, Generalization of the Shirali-Ford theorem in Hermitian locally multiplicatively convex algebras
- Dina Štěrbová, Square roots of elements with an unbounded spectrum
- Dina Štěrbová, On the radical in Hermitian LMC algebras
- Dina Štěrbová, On the fundamental inequality in locally multiplicatively convex algebras
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