Elements of Non-Linear Functional Analysis
Richard A. Graff
ጃን 1978 · American Mathematical Society: Memoirs of the American Mathematical Society መጽሐፍ 206 · American Mathematical Soc.
ኢ-መጽሐፍ
196
ገጾች
reportየተሰጡት ደረጃዎች እና ግምገማዎች የተረጋገጡ አይደሉም የበለጠ ለመረዳት
ስለዚህ ኢ-መጽሐፍ
A new notion of Frechet differentiability is introduced for maps between Banach spaces which are dual spaces, and it is shown that diffeomorphisms in the class of mappings thus isolated preserve the bounded weak-star topology as well as the ordinary metric topology. Basic Banach manifold differential topology is redeveloped under the assumption that the transition functions between the coordinate charts possess this refined type of differentiability, and it is pointed out that such manifolds possess additional structures not found on general manifolds: for example, a globally defined weaker topology, and Finsler metrics in which boundedness is equivalent to compact closure in the global weaker topology.
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እንደ Kobo ኢ-አንባቢዎች ባሉ ኢ-ቀለም መሣሪያዎች ላይ ለማንበብ ፋይል አውርደው ወደ መሣሪያዎ ማስተላለፍ ይኖርብዎታል። ፋይሎቹን ወደሚደገፉ ኢ-አንባቢዎች ለማስተላለፍ ዝርዝር የእገዛ ማዕከል መመሪያዎቹን ይከተሉ።
