Properties [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] Embeddings in Banach Spaces with 1-Unconditional Basis and [inline-graphic not available: see fulltext]

We will use García-Falset and Lloréns Fuster's paper on the AMC-property to prove that a Banach space [inline-graphic not available: see fulltext] that [inline-graphic not available: see fulltext] embeds in a subspace [inline-graphic not available: see fulltext] of a Banach space [inline-graphic not available: see fulltext] with a 1-unconditional basis has the property AMC and thus the weak fixed point property. We will apply this to some results by Cowell and Kalton to prove that every reflexive real Banach space with the property [inline-graphic not available: see fulltext] and its dual have the [inline-graphic not available: see fulltext] and that a real Banach space [inline-graphic not available: see fulltext] such that [inline-graphic not available: see fulltext] is [inline-graphic not available: see fulltext] sequentially compact and [inline-graphic not available: see fulltext] has [inline-graphic not available: see fulltext] has the [inline-graphic not available: see fulltext].