×
Kitano, Koh-ichi

The growth of the resolvent and hyperinvariant subspaces. (English) Zbl 0268.47010

Tohoku Math. J., II. Ser. 25, 317-331 (1973).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0268.47010

Cited in 5 Documents

MSC:

47L30 Abstract operator algebras on Hilbert spaces
47A15 Invariant subspaces of linear operators
47C05 Linear operators in algebras
Cite Review PDF
Full Text: DOI

References:

[1] N. ARONSZAJN AND K. T. SMITH, Invariant subspace of completely continuous operators, Ann.of Math., 60 (1954), 345-350. JSTOR: · Zbl 0056.11302 · doi:10.2307/1969637
[2] C. APOSTOL, On the growth of resolvent, perturbation and invariant subspaces, Rev Roum. Math. Pures et Appl., 16 (1971), 161-172. · Zbl 0217.45201
[3] N. DUNFORD AND J. T. SCHWARTZ, Linear operators, Part I, 1958; Part II, 1963, Inter science, New York.
[4] I. C. GOHBERG AND M. G. KREIN, Introduction to the theory of linear non-selfadjoin operators, Transl. Math. Mono., Vol. 18, Amer. Math. Soc., 1969. · Zbl 0181.13503
[5] K. KITANO, Invariant subspaces of some non-selfadjoint operators, Thoku Math. J., 2 (1968), 313-322. · Zbl 0175.13504 · doi:10.2748/tmj/1178243138
[6] B. JA. LEVIN, Distribution of zeros of entire functions, Transl. Math. Mono., Vol. 5, Amer. Math. Soc., 1964. · Zbl 0152.06703
[7] N. LEVINSON, Gap and density theorem, Amer. Math. Soc. Colloq. Publ., Vol. 26, 1940 Zentralblatt MATH: · Zbl 0145.08003
[8] Ju. I. LJUBIC AND V. I. MACAEV, On operators with a separable spectrum, Mat. Sb., 56 (98) (1962), 433-468; Amer. Math. Soc. Transl., (2), 47 (1965), 89-129.
[9] V. I. MACAEV, A class of completely continuous operators, Dokl. Akad. Nauk SSSR, 139 (1961), 548-551. · Zbl 0134.12001
[10] V. I. MACAEV, A method for the estimation of the resolvents of non-selfadjoint operators, Dokl. Akad. Nauk SSSR, 154 (1964), 1034-1037. · Zbl 0123.31701
[11] F. RIESZ AND B. Sz.-NAGY, Functional analysis, Fredrick linger, New York, 1955 · Zbl 0070.10902
[12] W. K. HAYMAN, Meromorphic functions, Oxford Math. Mono., Oxford Univ., London, 1964.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.