Titlebook: Notes on Functional Analysis; Rajendra Bhatia Book 2009 Hindustan Book Agency (India) 2009

CT951

书目名称Notes on Functional Analysis影响因子(影响力)




书目名称Notes on Functional Analysis影响因子(影响力)学科排名




书目名称Notes on Functional Analysis网络公开度




书目名称Notes on Functional Analysis网络公开度学科排名




书目名称Notes on Functional Analysis被引频次




书目名称Notes on Functional Analysis被引频次学科排名




书目名称Notes on Functional Analysis年度引用




书目名称Notes on Functional Analysis年度引用学科排名




书目名称Notes on Functional Analysis读者反馈




书目名称Notes on Functional Analysis读者反馈学科排名

GRAVE

Dimensionality,Let . be a vector space and let . be a subset of it. We say . is . if for every finite subset {.,…, .} of ., the equation.holds if and only if . = . = ⋯ = . = 0. A (finite) sum like the one in (2.1) is called a . of .,…, ..

evince

New Banach Spaces from Old,Let . be a vector space and . a subspace of it. Say that two elements . and . of . are ., . ~ ., if . − . ∈ .. This is an equivalence relation on .. The coset of . under this relation is the set..Let . be the collection of all these cosets. If we set.then . is a vector space with these operations.

自作多情

dominant

The Uniform Boundedness Principle,The . says that a complete metric space cannot be the union of a countable number of nowhere dense sets. This has several very useful consequences. One of them is the Uniform Boundedness Principle (U.B.P.) also called the ..

photopsia

Extort

Dual Spaces,The idea of duality, and the associated notion of adjointness, are important in functional analysis. We will identify the spaces .* for some of the standard Banach spaces.

GLOSS

一夫一妻制

The Second Dual and the Weak* Topology,The dual of .* is another Banach space .**. This is called the . or the . of .. Let . be the map from . into .** that associates with . ∈ . the element . ∈ .** defined as. Then . is a linear map and ‖.‖ = ‖.‖. (See (9.2).) Thus . is an . and we can regard . as a subspace of .**.

mercenary

Orthonormal Bases,A subset . in a Hilbert space is said to be an . if 〈., .〉 = 0 for all ., . in . (. ∈ .), and ‖.‖ = 1 for all . in ..