نتایج جستجو برای: compact operators

تعداد نتایج: 186706  

In this note we characterize the compact weighted Frobenius-Perron operator $p$ on $L^1(Sigma)$ and determine their spectra. We also show that every weakly compact weighted Frobenius-Perron operator on $L^1(Sigma)$ is compact.

2007
Matjaž Konvalinka

An operator on a complex Banach space is polynomially compact if a non-zero polynomial of the operator is compact, and power compact if a power of the operator is compact. Theorems on triangularizability of algebras (resp. semigroups) of compact operators are shown to be valid also for algebras (resp. semigroups) of polynomially (resp. power) compact operators, provided that pairs of operators ...

Journal: :Journal of Functional Analysis 2016

Journal: :Bulletin of the Australian Mathematical Society 1980

Journal: :Bulletin of the Polish Academy of Sciences Mathematics 2006

Journal: :Journal of Functional Analysis 2014

Journal: :Studia Mathematica 1974

Journal: :Mathematische Nachrichten 2021

Let $T:Y\to X$ be a bounded linear operator between two normed spaces. We characterize compactness of $T$ in terms differentiability the Lipschitz functions defined on $X$ with values another space $Z$. Furthermore, using similar technique we can also finite rank operators wider class but still flavour. As an application obtain Banach-Stone-like theorem. On other hand, give extension result Bou...

Journal: :Journal of Functional Analysis 1974

Journal: :Integral Equations and Operator Theory 2009

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