1) Bessel sequence of order p

p阶Bessel列
1.
It is proved that the set BpX Bessel sequences of order p in X is a Banach space;it is established that a sequence f = {fn}n∈Λ in X is a Bessel sequence of order p if and only if c>0 such that ‖∑n∈Λcnfn‖≤c‖{cn}‖q for all {cn}∈lq,where p-1+q-1=1;it is also proved that the spaces BpX and B(X*,lp) are linearly and isometrically isomorphic.
引入并研究了Banach空间X中的p阶Bessel列、p阶框架、p阶独立框架、p阶紧框架与p阶Riesz基。
2) p-Bessel sequence

p-Bessel序列
4) Bessel sequence of order q

q阶Bessel序列
5) Bessel sequence

Bessel列
1.
Operator perturbations of Bessel sequences in a Hilbert space

Hilbert空间中Bessel列的算子扰动
2.
Aim To discuss some relationships between several bases for a Hilbert space H,including Hilbertian bases,Besselian bases and Riesz bases,Bessel sequences and wavelet Riesz bases in wavelet analysis.
目的研究Hilbert空间H上的Hilbert基、Bessel基、Riesz基三者间的关系,及其与Bessel列、小波Riesz基的关系。
3.
The stability of Bessel sequences in Hilbert spaces under the perturbations with one operator is described,operator sequences or Bessel sequences are also discussed.
讨论了Hilbert空间中的Bessel列在单个算子或一列算子扰动下的稳定性,以及Hilbert空间中的框架在单个算子或一列算子或Bessel列与算子列的共同扰动下的稳定性。
6) ∞-Bessel sequence

∞-Bessel列
补充资料:[styrene-(2-vinylpyridine)copolymer]
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性质:学名苯乙烯-2-乙烯吡啶共聚物。微黄色粉末或透明小颗粒晶体。无臭,无味。不溶于水,溶于酸、乙醇、丙酮、氯仿。有抗水、防潮性能,适用于多种药片的包衣等。
分子量:
CAS号:
性质:学名苯乙烯-2-乙烯吡啶共聚物。微黄色粉末或透明小颗粒晶体。无臭,无味。不溶于水,溶于酸、乙醇、丙酮、氯仿。有抗水、防潮性能,适用于多种药片的包衣等。
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