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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functions of bounded variation and nonlocal functionals
有界 变差函数 非局部泛函
2023/11/29
In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by mean...
On the power-bounded operators of classes $C_{0 \cdot}$ and $C_{1 \cdot}$
power-bounded operators C0 operators strongly stable operators Functional Analysis
2012/6/19
By a bounded backward sequence of the operator $T$ we mean a bounded sequence $\{x_n\}$ satisfying $Tx_{n+1}=x_n$. In \cite{Pa} we have characterized contractions with strongly stable nonunitary part ...
Completely bounded representations of convolution algebras of locally compact quantum groups
Locally compact quantum group Fourier algebra completely bounded homomorphism corepresentation amenability
2011/9/1
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
Norm closures of orbits of bounded operators
group action closure of orbit index of operator Fredholm operators semi-Fredholm operators closed range operators
2011/8/29
Abstract: To every bounded linear operator $A$ between Hilbert spaces $\mathcal{H}$ and $\mathcal{K}$ three cardinals $\iota_r(A)$, $\iota_i(A)$ and $\iota_f(A)$ and a binary number $\iota_b(A)$ are a...
We prove that if l(A),l(B) and l(C) are Köthe spaces such that L(l(A),l(B)) and L(l(C),l(A)) consist of bounded operators then each operator acting on l(A) that factors over l(B)\widehat\otimesp ...