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On spaces Cλ(X)

✍ Scribed by Nikolay V. Velichko


Book ID
104295672
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
65 KB
Volume
107
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis


It is proved that C λ (X) is separable iff X can be condensed onto a second countable space. A space with countable network weight such that C λ (X) has no countable network is constructed.


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## The uniqueness of the minimal solution of the matrix equation A(A)X(A)+ Y(A)B(h) = C(A) is discussed in this paper. It is proved that Bamett's condition for uniqueness can be obtained when only A(A) or B(A) (not necessarily both) is regular. Furthermore, it is shown that if such a minimal soluti