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

CT951

書目名稱Notes on Functional Analysis影響因子(影響力)




書目名稱Notes on Functional Analysis影響因子(影響力)學(xué)科排名




書目名稱Notes on Functional Analysis網(wǎng)絡(luò)公開度




書目名稱Notes on Functional Analysis網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Notes on Functional Analysis被引頻次




書目名稱Notes on Functional Analysis被引頻次學(xué)科排名




書目名稱Notes on Functional Analysis年度引用




書目名稱Notes on Functional Analysis年度引用學(xué)科排名




書目名稱Notes on Functional Analysis讀者反饋




書目名稱Notes on Functional Analysis讀者反饋學(xué)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 ..