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Ramanujan, M. S.; Rosenberger, B.

On \(\lambda\) \((\varphi,P)\)-nuclearity. (English) Zbl 0347.46001

Compos. Math. 34, 113-125 (1977).
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Cited in 3 Documents

MSC:

46A03 General theory of locally convex 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.)
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
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\textit{M. S. Ramanujan} and \textit{B. Rosenberger}, Compos. Math. 34, 113--125 (1977; Zbl 0347.46001)
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References:

[1] E. Dubinsky and M.S. Ramanujan : On \lambda -nuclearity . Mem. Amer. Math. Soc. 128 (1972). · Zbl 0244.47015
[2] Ch. Fenske and E. Schock : Nuclear spaces of maximal diametral dimension . Compositio Math. 26 (1973) 303-308. · Zbl 0262.46013
[3] G. Köthe : Topologische lineare Räume I . Berlin- Göttingen-Heidelberg 1960. · Zbl 0093.11901
[4] A. Pietsch : Nukleare lokalkonvexe Räume . Berlin 1969. · Zbl 0184.14602
[5] A. Pietsch : s-numbers of operators in Banach spaces . Studia Math. 51 (1974) 199-221. · Zbl 0294.47018
[6] A. Pietsch : Small ideals of operators . Studia Math. 51 (1974) 265-267. · Zbl 0294.47019
[7] M.S. Ramanujan and T. Terzioglu : Diametral dimension of cartesian products, stability of smooth sequence spaces and applications . J. Reine Angew. Math. (to appear). · Zbl 0316.46005
[8] M.S. Ramanujan and T. Terzioglu : Power series space \Lambda k(\alpha ) of finite type and related nuclearities . Studia Math. 53 (1975) 1-13. · Zbl 0306.46016
[9] B., Rosenberger : \Phi -nukleare Räume . Math. Nachrichten 52 (1972) 147-160. · Zbl 0207.42602
[10] B. Rosenberger : Universal generators for varieties of nuclear spaces . Trans. Amer. Math. Soc. 184 (1973) 275-290. · Zbl 0274.46002
[11] B. Rosenberger : Approximationszahlen, p-nukleare Operatoren und Hilbertraumcharakterisierungen . Math. Annalen 213 (1975) 211-221. · Zbl 0296.47017
[12] T. Terzioglu : Die diametrale Dimension von lokalkonvexen Räumen . Collect. Math. 20 (1969) 49-99. · Zbl 0175.41602
[13] T. Terzioglu : Smooth sequence spaces and associated nuclearity . Proc. Amer. Math. Soc. 37 (1973) 497-504. · Zbl 0263.46010
[14] T. Terzioglu : Stability of smooth sequence spaces . J. Reine Angew. Math. (to appear). · Zbl 0315.46016
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