References
Bishop, E.: Spectral theory for operators on a Banach space. Trans. Am. Math. Soc.86, 414–445 (1957).
Bourbaki, N.: Espaces vectoriels topologiques. Livre V. Paris 1953, 1955.
Bourbaki, N.: Intégration. Livre VI, Chap. 6. Paris 1960.
Dunford, N.: A survey of the theory of spectral operators. Bull. Am. Math. Soc.64, 217–274 (1958).
Dunford, N., andJ. T. Schwartz: Linear operators, Part I. New York 1958.
Grothendieck, A.: Sur les applications linéaires faiblement compactes d'espaces du typeC (K). Canad. J. Math.,V, 129–173 (1953).
Hille, E., andR. S. Phillips: Functional analysis and semi-groups. Am. Math. Soc. Coll. Pub.31 (1957).
Ionescu Tulcea, C.: Spectral operators on locally convex spaces. Bull. Am. Math. Soc.67, 125–128 (1961).
Waelbroeck, L.: Le calcul symbolique dans les algèbres commutatives. J. de Math. 9t Série,33, pp. 147–186 (1954).
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Maeda, F. A characterization of spectral operators on locally convex spaces. Math. Ann. 143, 59–74 (1961). https://doi.org/10.1007/BF01351891
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DOI: https://doi.org/10.1007/BF01351891