Let G be a locally compact group (not necessarily abelian) and B be a homogeneous Banach space on G which is in a good situation with respect to a homogeneous function algebra \((A,\Vert .\Vert _{A})\) on G. Feichtinger showed that there exists a minimal Banach space \(B_{\rm{min}}\) in the family of all homogeneous Banach spaces C on G containing all elements of B with compact support. In this paper, we study the amenability and super-amenability of some Feichtinger algebras such as \(L^{p}(G)_{\rm{min}}, C_{0}(G)_{\rm{min}}\), \(A(G)_{\rm{min}}\), and \(B(G)_{\rm{min}}\).

中文翻译：

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某些Feichtinger代数的可及性和超可及性

令G为局部紧致群（不一定为abelian），而B为G上的齐次Banach空间，相对于齐次函数代数\（（A，\ Vert。\ Vert _ {A}）\ ）在G上。Feichtinger证明，在G上的所有齐次Banach空间C的族中，存在一个最小的Banach空间\（B _ {\ rm {min}} \），该空间包含B的所有元素并具有紧凑的支撑。在本文中，我们研究了一些Feichtinger代数的可及性和超可及性，例如\（L ^ {p}（G）_ {\ rm {min}}，C_ {0}（G）_ {\ rm {min }} \），\（A（G）_ {\ rm {min}} \）和\（B（G）_ {\ rm {min}} \）。