Abstract
The notion of subspace of nearexistence is introduced. In particular, it is proved that ifQ is a countable compact set, then any subspaceL ⊂ C(Q), dimL=codimL=+∞, can be approximated by subspaces of nearexistence.
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Translated fromMatematicheskie Zametki, Vol. 60, No. 2, pp. 278–287, August, 1996.
This work was supported by the “Fundamental Problems of Mathematics and Mechanics” Foundation under grant No. 1.1.64.
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Ustinov, G.M. On spaces of nearexistence. Math Notes 60, 204–211 (1996). https://doi.org/10.1007/BF02305183
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DOI: https://doi.org/10.1007/BF02305183