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Algebraic and strong splittings of extensions of Banach algebras Book

Algebraic and strong splittings of extensions of Banach algebras
Algebraic and strong splittings of extensions of Banach algebras, In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $\sum\:\ 0\rightarrow I\rightarrow\mathfrak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\mathfrak A$ is a Banach algebra and $I$ is a, Algebraic and strong splittings of extensions of Banach algebras has a rating of 3 stars
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Algebraic and strong splittings of extensions of Banach algebras, In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $\sum\:\ 0\rightarrow I\rightarrow\mathfrak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\mathfrak A$ is a Banach algebra and $I$ is a, Algebraic and strong splittings of extensions of Banach algebras
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  • Algebraic and strong splittings of extensions of Banach algebras
  • Written by author W. G. Bade,H. G. Dales,Z. A. Lykova
  • Published by Providence, R.I. : American Mathematical Society, 1999., 1999/05/20
  • In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $sum: 0rightarrow Irightarrowmathfrak Aoversetpitolongrightarrow Arightarrow 0$ be an extension of $A$, where $mathfrak A$ is a Banach algebra and $I$ is a
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In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $sum: 0rightarrow Irightarrowmathfrak Aoversetpitolongrightarrow Arightarrow 0$ be an extension of $A$, where $mathfrak A$ is a Banach algebra and $I$ is a closed ideal in $mathfrak A$. The extension splits algebraically (respectively, splits strongly) if there is a homomorphism (respectively, continuous homomorphism) $theta: Arightarrowmathfrak A$ such that $picirctheta$ is the identity on $A$. Consider first for which Banach algebras $A$ it is true that every extension of $A$ in a particular class of extensions splits, either algebraically or strongly, and second for which Banach algebras it is true that every extension of $A$ in a particular class which splits algebraically also splits strongly. These questions are closely related to the question when the algebra $mathfrak A$ has a (strong) Wedderburn decomposition. The main technique for resolving these questions involves the Banach cohomology group $mathcal H^2(A,E)$ for a Banach $A$-bimodule $E$, and related cohomology groups. Later chapters are particularly concerned with the case where the ideal $I$ is finite-dimensional. Results are obtained for many of the standard Banach algebras $A$.


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Algebraic and strong splittings of extensions of Banach algebras, In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $\sum\:\ 0\rightarrow I\rightarrow\mathfrak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\mathfrak A$ is a Banach algebra and $I$ is a, Algebraic and strong splittings of extensions of Banach algebras

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Algebraic and strong splittings of extensions of Banach algebras, In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $\sum\:\ 0\rightarrow I\rightarrow\mathfrak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\mathfrak A$ is a Banach algebra and $I$ is a, Algebraic and strong splittings of extensions of Banach algebras

Algebraic and strong splittings of extensions of Banach algebras

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Algebraic and strong splittings of extensions of Banach algebras, In this volume, the authors address the following: Let $A$ be a Banach algebra, and let $\sum\:\ 0\rightarrow I\rightarrow\mathfrak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\mathfrak A$ is a Banach algebra and $I$ is a, Algebraic and strong splittings of extensions of Banach algebras

Algebraic and strong splittings of extensions of Banach algebras

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