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Featured researches published by Pei-Kee Lin.


Archive | 2004

Köthe-Bochner Function Spaces

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

Remarks about Schlumprecht space

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

Unrestricted products of contractions in Banach spaces

Pei-Kee Lin

Let


Proceedings of the American Mathematical Society | 1985

Property

Bor-Luh Lin; Pei-Kee Lin

X


Proceedings of the American Mathematical Society | 1999

(H)

Pei-Kee Lin

be a reflexive Banach space such that for any


Journal of Mathematical Analysis and Applications | 1988

in Lebesgue-Bochner function spaces

Pei-Kee Lin

x \ne 0


Proceedings of the American Mathematical Society | 1992

Stability of the fixed point property of Hilbert spaces

Pei-Kee Lin

the set


Proceedings of the American Mathematical Society | 2014

k-Uniform rotundity is equivalent to k-uniform convexity☆

Pei-Kee Lin; Bünyamin Sari; Bentuo Zheng


Journal of Mathematical Analysis and Applications | 2003

Some remarks of drop property

Teck-Cheong Lim; Pei-Kee Lin; C.G Petalas; T. Vidalis

\{x^* \in X^*: \text {


Journal of Mathematical Analysis and Applications | 1986

Norm closed ideals in the algebra of bounded linear operators on Orlicz sequence spaces

Bor-Luh Lin; Pei-Kee Lin

\|x^*\|=1

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Huiying Sun

Harbin Institute of Technology

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Denka Kutzarova

Bulgarian Academy of Sciences

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Cleon S. Barroso

Federal University of Ceará

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B. Turett

University of Rochester

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Bünyamin Sari

University of North Texas

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