Volume 3, Issue 2 (12-2022)                   MACO 2022, 3(2): 17-24 | Back to browse issues page


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Abstract:   (701 Views)
 In this paper we give a topology-dynamical interpretation for the space  of all integer sequences $P_n$ whose consecutive difference $P_{n+1}-P_n$ is a bounded sequence.  We also introduce a new concept textit{"Rigid Banach space"}. A rigid  Banach space is a Banach space $X$  such that for  every continuous linear injection $j:Xto X,;overline{J(X)}$ is either isomorphic to $X$ or it does not contain any isometric copy of $X$. We prove that $ell_{infty}$ is not a rigid Banach space. We also  discuss about  rigidity of Banach algebras.
Article number: 3
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Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2023/07/27

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