Abstract: Given a norm $\| \cdot \|$ on a real Banach space $X$, there is a smallest ‘reasonable’ complexification norm $\| \cdot \|_C$ on the complexified space ...
The group of unitaries in a real W*-algebra without a finite type I direct summand is connected. This fact is used to characterize the components of the set of partial isometries in such algebras.
The study of isometries within Banach spaces has emerged as a pivotal area of contemporary research, advancing both fundamental theory and practical applications. At its core, an isometry is a mapping ...
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