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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 ...
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...
Simple integral representation for bounded operators in topological vector spaces
Bounded Operators Weak integrals Riesz Theorem
2010/9/13
We prove that bounded operators of this class preserve the familiar operations of distribution theory, that is, the operations of derivation and Fourier transform. Also we give an application to weak ...
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 ...