Date of Award
College of Natual Science and Mathematics
James N. Hagler, Ph.D.
Susan E. Sadler
Banach space theory, Infinite combinatorics
An example of a Banach space, X∞, with a nonseparable dual such that l1 does not imbed in X∞ is investigated. Not every weakly null sequence has a subsequence equivalent to the usual basis of c0, but c0 imbeds in many subspaces of X∞. The space l1 does imbed in X∞∗, the dual space of X∞, yet weakly converging sequences in X∞∗ need not converge in norm.
Copyright is held by the author. User is responsible for all copyright compliance.
Annette B. Locke
Received from ProQuest
Locke, Annette B., "Banach Spaces on Infinitely Branching Trees" (2009). Electronic Theses and Dissertations. 377.