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Volume 4, Issue 2 (2014), Pages [59] - [91]

NONOBLATENESS OF A GENERATING CONE IN SH-SPACE AND ITS APPLICATION 

[1] V. I. Averbukh and O. G. Smolyanov, Theory of differentiation in linear topological spaces (Russian), Uspehi. Mat. Nauk. 22 (1967), 201-258.

 

[2] I. F. Danilenko, On nonoblate cones in locally convex spaces (Russian), Vestnik Leningrad Univ. 7 (1972), 29-35.

 

[3] M. De Wilde, Réseaux dans les espaces linéaires à semi-normes, Mém. Soc. Royale Sci. Liège. 18 (1969), 1-144.

 

[4] R. Edwards, Functional Analysis: Theory and Applications (Russian), Mir, Moscow, 1971 (transl. from English Edition: New York, Holt, Rinehart and Winston, 1965).

 

[5] V. L. Levin, Conditions for an extremum in infinite-dimensional linear problems with operator restrictions (Russian), Issled. Mat. Programm., Novosibirsk (1972), 159-197.

 

[6] E. I. Smirnov, Hausdorff Spectra in Functional Analysis, Springer-Verlag, London, 2002.

 

[7] E. I. Smirnov, On the Hausdorff limit of locally convex spaces (Russian), Sibirsk. Mat. Zh. 28 (1987), 153.

 

[8] E. I. Smirnov, Using homological methods on the base of iterated spectra in functional analysis, Vladikavkaz Mathematical Journal 14(4) (2012), 73-82.