Pei-Kee Lin
University of Memphis
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Featured researches published by Pei-Kee Lin.
Archive | 2004
Pei-Kee Lin
In this chapter, we introduce the Kothe-Boehner function spaces, and provide some basic results in this area.
arXiv: Functional Analysis | 2000
Denka Kutzarova; Pei-Kee Lin
Let S denote the Schlumprecht space. We prove that 1. l∞ is finitely disjointly respresentable in S; 2. S contains an l1-spreading model; 3. for any sequence (nk) of natural numbers, S is isomorphic to the space ( ∑∞ k=1⊕ lnk ∞ ) S . Let (ei) ∞ i=1 be the standard basis of the linear space c00, the set of all finitely supported sequences. For x = ∞ ∑ i=1 aiei ∈ c00, suppx denotes the set {i ∈ N : ai 6= 0}. A subset E of N is said to be an interval if there exist a, b such that E = {c ∈ N : a < c < b}. For finite subsets E,F of N, E < F means maxE < minF or E is an empty set. For x = ∞ ∑ i=1 aiei and a subset E of N, Ex denotes the vector Ex = ∑ i∈E aiei. Let f : [1,∞) → [1,∞) be the function defined by f(x) = log2(x+1). The Schlumprecht space S = (S, ‖ · ‖) is the completion of c00 with respect to the norm ‖ · ‖ which satisfies the following implicit equation: (1) ‖x‖ = max { ‖x‖∞, sup E1
Nonlinear Analysis-theory Methods & Applications | 1995
Pei-Kee Lin
Let
Proceedings of the American Mathematical Society | 1985
Bor-Luh Lin; Pei-Kee Lin
X
Proceedings of the American Mathematical Society | 1999
Pei-Kee Lin
be a reflexive Banach space such that for any
Journal of Mathematical Analysis and Applications | 1988
Pei-Kee Lin
x \ne 0
Proceedings of the American Mathematical Society | 1992
Pei-Kee Lin
the set
Proceedings of the American Mathematical Society | 2014
Pei-Kee Lin; Bünyamin Sari; Bentuo Zheng
Journal of Mathematical Analysis and Applications | 2003
Teck-Cheong Lim; Pei-Kee Lin; C.G Petalas; T. Vidalis
\{x^* \in X^*: \text {
Journal of Mathematical Analysis and Applications | 1986
Bor-Luh Lin; Pei-Kee Lin
\|x^*\|=1