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Halmos, P. R.

Some unsolved problems of unknown depth about operators on Hilbert space. (English) Zbl 0346.47001

Proc. R. Soc. Edinb., Sect. A 76(1976/77), 67-76 (1976).
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Cited in 3 Reviews
Cited in 34 Documents

MSC:

47-02 Research exposition (monographs, survey articles) pertaining to operator theory
15A21 Canonical forms, reductions, classification
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
47A15 Invariant subspaces of linear operators
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47A45 Canonical models for contractions and nonselfadjoint linear operators
47A20 Dilations, extensions, compressions of linear operators
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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References:

[1] Coburn, Trans. Amer. Math. Soc. 137 pp 211– (1969)
[2] DOI: 10.1090/S0002-9947-1969-0251573-0 · doi:10.1090/S0002-9947-1969-0251573-0
[3] DOI: 10.1512/iumj.1973.23.23035 · Zbl 0276.47024 · doi:10.1512/iumj.1973.23.23035
[4] Bernstein, Pacific J. Math. 16 pp 421– (1966) · Zbl 0141.12903 · doi:10.2140/pjm.1966.16.421
[5] DOI: 10.1090/S0002-9939-1974-0380491-X · doi:10.1090/S0002-9939-1974-0380491-X
[6] DOI: 10.1215/S0012-7094-67-03467-9 · Zbl 0183.42403 · doi:10.1215/S0012-7094-67-03467-9
[7] DOI: 10.2307/1969637 · Zbl 0056.11302 · doi:10.2307/1969637
[8] Sarason, Pacific J. Math. 17 pp 511– (1966) · Zbl 0171.33703 · doi:10.2140/pjm.1966.17.511
[9] Apostol, Rev. Roumaine Math. Pures Appl. 18 pp 487– (1973)
[10] Rogers, Normal spectral approximation (1975)
[11] DOI: 10.2307/2372661 · Zbl 0056.11301 · doi:10.2307/2372661
[12] DOI: 10.1215/S0012-7094-72-03985-3 · Zbl 0254.47038 · doi:10.1215/S0012-7094-72-03985-3
[13] DOI: 10.1512/iumj.1972.21.21076 · Zbl 0263.47018 · doi:10.1512/iumj.1972.21.21076
[14] Halmos, Bull. Amer. Math. Soc.
[15] Halmos, Acta Sci. Math. (Szeged) 29 pp 283– (1968)
[16] Halmos, Ann. Soc. Polon. Math. 25 pp 43– (1952)
[17] Fillmore, Acta Sci. Math. (Szeged) 33 pp 179– (1972)
[18] DOI: 10.1307/mmj/1031732778 · Zbl 0173.42904 · doi:10.1307/mmj/1031732778
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