Abstract
In this manuscript, we investigate the isomorphisms of Orlicz-Köthe sequence spaces and quasidiagonal isomorphisms of Cartesian products of Orlicz-power series spaces.
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References
L. Crone, W.B. Robinson : Every nuclear Fréchet space with a regular basis has the quasi-equivalence property, Studia Math. 52, 203-207,(1974/75).
Djakov P.B., Önal S., Terzioğlu T., Yurdakul M.: Strictly Singular Operators and Isomorphism of Cartesian Products of Power Series Spaces. Arch. Math 70, 57–65 (1998)
Djakov P.B., Ramanujan M.S.: Multipliers Between Orlicz Sequence Spaces. Turk J. Math. 24, 313–319 (2000)
P.B. Djakov, T. Terzioğlu, M. Yurdakul, V. Zahariuta : Bounded operators and complemented subspaces of Cartesian products, Math. Nachrichten, to appear.
M.M. Dragilev : Basis in Köthe spaces,(in Russian), Rostov State University, Rostov-on-Don (1983,2003).
Jarchow H.: Locally Convex Spaces. B.G. Teubner, Stuttgart (1981)
Karapınar E., Yurdakul M., Zahariuta V.P.: Isomorphisms of Cartesian products of ℓ-power series spaces. Bull. Polish Acad. Sci. Math. 54(2), 103–111 (2006)
Krasnoselskii M.A., Rutickii Ya.B.: Convex Functions and Orlicz Spaces. Noorhoff Ltd., Groningen (1961)
Lindberg K.: On Subspaces of Orlicz Sequence Spaces. Studia Mathematica 45, 119–146 (1973)
Lindenstrauss J., Tzafriri L.: On Orlicz sequence spaces. Israel J. Math. 10, 379–390 (1971)
J. Lindenstrauss, L. Tzafriri: Classical Banach Spaces I,II, Springer, Berlin (1977, 1979).
Meise R., Vogt D.: Introduction to Functional Analysis. Springer, Berlin (1997)
Mityagin B.S.: Sur l’equivalence des bases inconditional dans les echelles de Hilbert. C. R. Acad. Sci., Paris 269, 426–428 (1969)
Mityagin B.S.: The equivalence of bases in Hilbert scales, (in Russian). Studia Math. 37, 111–137 (1970)
Mityagin B.S.: Non-Schwartzian power series spaces. Math. Z. 182(3), 303–310 (1983)
Ramanujan M.S., Terzioğlu T.: Power series spaces Λ k (α) of finite type and related nuclearities. Studia Math. 53(1), 1–13 (1975)
Vogt D.: Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist. J. reine angew. Math. 345, 182–200 (1983)
Zahariuta V.P.: On the isomorphism of Cartesian products of locally convex spaces. Studia Math 46, 201–221 (1973)
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Karapınar, E., Zakharyuta, V. On Orlicz-Power Series Spaces. Mediterr. J. Math. 7, 553–563 (2010). https://doi.org/10.1007/s00009-010-0051-2
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DOI: https://doi.org/10.1007/s00009-010-0051-2