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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 $\sum\:\ 0\rightarrow I\rightarrow\frak A\overset\pi\to\longrightarrow A\rightarrow 0$ be an extension of $A$, where $\frak A$ is a Banach algebra and $I$ is a closed ideal in $\frak A$. The extension splits algebraically (respectively, splits strongly) if there is a homomorphism (respectively, continuous homomorphism) $\theta\: A\rightarrow\frak A$ such that $\pi\circ\theta$ 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...
Former Soviet Union
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Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc
A set V in a domain U in Cn has the norm-preserving extension property if every bounded holomorphic function on V has a holomorphic extension to U with the same supremum norm. We prove that an algebraic subset of the symmetrized bidisc
The Boy who Would be Tsar
Cultural Writing. Art. Andrew Romanoff is the grandnephew of the late Tsar Nicholas Romanoff. Had the Bolshevik Revolution not intervened, Andrew himself was in line to become Tsar of Russia. Instead, he grew up in exile on the grounds at Windsor Castle in London. Prince Andrew, now 85 years old, chronicles his remarkable childhood in THE BOY WHO WOULD BE TSAR, THE ART OF PRINCE ANDREW ROMANOFF. Prince Andrew's drawings of daily life are executed on Shrinky Dink material, a plastic which shrinks when heated in the oven. His decidedly original works are rooted in the realm of Folk Art. He uses these drawings to illustrate the story of his childhood at Frogmore Cottage, a thirty six room mansion on the grounds of Windsor. There, Andrew was raised with his parents and grandmother Grand Duchess Xenia.
