Titlebook: Infinite Dimensional Analysis; A Hitchhiker’s Guide Charalambos D. Aliprantis,Kim C. Border Book 19992nd edition Springer-Verlag Berlin Hei

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opprobrious

Springer-Verlag Berlin Heidelberg 1999

Spinal-Tap

Anterior

-spaces,In this chapter, we introduce the classical ..-spaces and study their basic properties. For a measure space (., Σ, .) and 0 < . <∞, the space ..(.) is the collection of all equivalence classes of measurable functions . for which the .-norm

步履蹣跚

協(xié)議

GLARE

Topology, are familiar with the notion of convergence of a sequence of real numbers, and you may even be familiar with convergence in more general normed or metric spaces. Recall that a sequence {x.} of real numbers converges to a real number . if {|x. — x|} converges to zero. That is, for every . > 0, there

Antarctic

Metrizable spaces,ther work with a metric space if they could. The reason is that the metric, a real-valued function, allows us to analyze these spaces using what we know about the real numbers. That is why they are so important in real analysis. We present here some of the more arcane results of the theory of metric

使人入神

Measurability,babilities to various .. Given events . and . it is natural to consider the events “. and .,” “. or .,” and the event “not ..” If we model events as sets of ., then the family of events should be closed under intersections, unions, and complements. It should also include the set of all states of the

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