Embeddings ofl
p
m
intol
∞
n
, 1≦p≦2 |
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Authors: | Jan-Ove Larsson |
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Institution: | (1) Department of Mathematics, Uppsala University, S-752 38 Uppsala, Sweden |
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Abstract: | Isomorphic embeddings ofl
l
m
intol
∞
n
are studied, and ford(n, k)=inf{‖T ‖ ‖T
−1 ‖;T varies over all isomorphic embeddings ofl
1
klog2n]
intol
∞
n
we have that lim
n→∞
d(n, k)=γ(k)−1,k>1, whereγ(k) is the solution of (1+γ)ln(1+γ)+(1 −γ)ln(1 −γ)=k
−1ln4.
Here x] denotes the integer part of the real numberx. |
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Keywords: | |
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