Abstract
We prove that if X and Y are completely regular perfect spaces and Φ is a continuous linear homeomorphism between C p (X) and C p (Y) (resp., C * p (X) and C * p (Y)) then the Lindelöf degrees of X and Y are the same. When Φ is positive the above result remains true for any completely regular X and Y. It is also shown that pseudocompactness and compactness are preserved by continuous linear homeomorphisms between C * p (X) and C * p (Y).
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Dedicated to Professor B. Banaschewski on the occasion of his 70th birthday
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© 2000 Springer Science+Business Media Dordrecht
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Valov, V., Vuma, D. (2000). Lindelöf Degree and Function Spaces. In: Brümmer, G., Gilmour, C. (eds) Papers in Honour of Bernhard Banaschewski. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2529-3_29
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DOI: https://doi.org/10.1007/978-94-017-2529-3_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5540-8
Online ISBN: 978-94-017-2529-3
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