References
J. Dixmier, Etude sur les variétés et les opérateurs de Julia. Bull. Soc. Math. France,77, 11–101 (1949).
V. P. Fonf, On a property of families of Banach spaces. Teor. Funktsii Funktsional. Anal. i Prilozhen.55, 140–145 (1991).
V. I. Gurarii andM. I. Kadets, On minimal sequences and quasicomplements in a Banach space (Russian). Dokl. Akad. Nauk SSSR145, 256–258 (1962). English translation: Soviet Math. Dokl.3, 966–968 (1962).
T. Kato, Perturbation theory for nullity deficiency and other quantities of linear operators. J. Analyse Math.6, 261–322 (1958).
J.Lindenstrauss and L.Tzafriri, Classical Banach Spaces I. Berlin-Heidelberg-New York 1977.
G. Mackey, Note on a theorem of Murray. Bull. Amer. Math. Soc.52, 322–325 (1946).
M. I. Ostrovskii andV. P. Fonf, Operators with dense ranges and extension of minimal systems (Russian). Izv. Vyssh. Uchebn. Zaved. Mat.6, 45–47 (1990).
A.Pietsch, Operator Ideals. Berlin 1978.
V. V.Shevchik, Strictly quasicomplements and operators of dense embedding (Russian). Ukrain. Mat. Zh., to appear.
V. V. Shevchik, Acting of an operator with nonclosed range on orthonormal bases in a Hilbert space (Russian). Ukrain. Mat. Zh.41, 1403–1407 (1989).
I.Singer, Bases in Banach Spaces I. Berlin-Heidelberg-New York 1970.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Fonf, V., Shevchik, V. Operators dense embedding and quasicomplements of subspaces of Banach spaces. Arch. Math 62, 539–544 (1994). https://doi.org/10.1007/BF01193742
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01193742