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Orlicz sequence spaces without local convexity. (English) Zbl 0345.46013


MSC:

46A45 Sequence spaces (including Köthe sequence spaces)
46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.)
46A35 Summability and bases in topological vector spaces
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
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References:

[1] Kalton, Israel J. Math.
[2] Lindberg, Studia Math. 45 pp 119– (1973)
[3] Kahane, Some random series of functions (1968)
[4] Kaczarz, Theorie des Orthogonalreihen (1935)
[5] Turpin, Dias. Math. (1976)
[6] Stiles, Studia Math. 42 pp 109– (1972)
[7] DOI: 10.1512/iumj.1972.21.21086 · Zbl 0241.46007
[8] DOI: 10.1215/S0012-7094-70-03779-8 · Zbl 0205.41002
[9] Rolewicz, Metric linear spaces (1972) · Zbl 0226.46001
[10] Rolewicz, Studia Math. 18 pp 1– (1959)
[11] DOI: 10.1007/BF02764715 · Zbl 0262.46031
[12] DOI: 10.1016/0022-1236(69)90054-8 · Zbl 0174.17201
[13] DOI: 10.1007/BF02761463 · Zbl 0237.46034
[14] DOI: 10.1007/BF02771656 · Zbl 0227.46042
[15] Lindenstrauss, Studia Math. 29 pp 275– (1968)
[16] Kalton, Proc. Edinburgh Math. Soc. 19 pp 151– (1974)
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