Introduction to Banach spaces and their geometry

By B. Beauzamy. 1985

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Vector-valued variational principles (2003, background): “We denote the unconditional normalized basis by (ei)i>1 and the unconditional basis constant by C [3, 23].”
Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties (2011, background): “The properties of uniformly convex Banach spaces can be found in detail in [23, 3, 22].”
Spaces of Lipschitz and H¨ older functions and their applications (2004, methodology): “Our proof is modelled on the renorming arguments in [6] pp.”
Weak convergence of an iterative sequence for accretive operators in Banach spaces (2006, background): “For the sake of completeness, we give the proof; see also [1, 2].”
The geometry of Minkowski spaces — A survey. Part I (2007, background): “ous ﬁne geometric properties of ﬁnite dimensional spaces play an important role in the so-called local theory of Banach spaces [139, 195, 157, 127]. For inﬁnite dimensional Banach space geometry, see [54, 57, 128, 22]. Also, characterizations of inner product spaces lead to interesting geometry of ﬁ”
Weak convergence of a projection algorithm for variational inequalities in a Banach space (2008, methodology): “(See [5,6].”
Geometrical Background of Metric Fixed Point Theory (2001, background): “Books [9], [27] and [24] are our general references for geometry of Banach spaces.”