Complemented c 0-Subspaces of a Non-Separable C(K)-Space
Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 351-357
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The non-separable Banach space of right continuous functions with left hand limits and the supremum norm is investigated to find the isomorphic types of complemented subspaces. It is shown that every isometric isomorph of c 0 is complemented in this space which may be identified as a non-separable C(K) space. Sufficient conditions are given for other isomorphs of C 0 to be complemented in the space and the complement of a C 0 subspace is characterized isomorphically.
Patterson, Wanda M. Complemented c 0-Subspaces of a Non-Separable C(K)-Space. Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 351-357. doi: 10.4153/CMB-1993-048-0
@article{10_4153_CMB_1993_048_0,
author = {Patterson, Wanda M.},
title = {Complemented c {0-Subspaces} of a {Non-Separable} {C(K)-Space}},
journal = {Canadian mathematical bulletin},
pages = {351--357},
year = {1993},
volume = {36},
number = {3},
doi = {10.4153/CMB-1993-048-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-048-0/}
}
TY - JOUR AU - Patterson, Wanda M. TI - Complemented c 0-Subspaces of a Non-Separable C(K)-Space JO - Canadian mathematical bulletin PY - 1993 SP - 351 EP - 357 VL - 36 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-048-0/ DO - 10.4153/CMB-1993-048-0 ID - 10_4153_CMB_1993_048_0 ER -
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