Sub: [[쌍대공간,dual_space]] and/or [[쌍대벡터공간,dual_vector_space]] - curr at [[쌍대,dual]]


MKL
[[바나흐_공간,Banach_space]] WtEn:Banach_space   Ndict:"바나흐 공간" Ggl:"바나흐 공간" "바나흐 공간"
[[functional_analysis]] 함수해석 함수해석학 WtEn:functional_analysis Ndict:"functional analysis" Ndict:"함수해석학" Ggl:"함수해석학" Bing:"함수해석학" Ggl:"functional analysis" Bing:"functional analysis" "functional analysis"
[[부분공간,subspace]]

https://mathworld.wolfram.com/VectorSpace.html
{
벡터공간 $V$ 는 유한한 횟수의 (이유?) [[벡터덧셈,vector_addition]]과 [[스칼라곱셈,scalar_multiplication]]에 닫혀 있는 [[집합,set]]이다. 기초적 예제로 n차원 [[유클리드_공간,Euclidean_space]] $\mathbb{R}^n$ 을 들 수 있다.

$\mathbb{R}^n$ 은 [[실벡터공간,real_vector_space]],
// [[real_vector_space]] =,real_vector_space =,real_vector_space . real_vector_space { real vector space  WtEn:real_vector_space Ggl:"real vector space" "real vector space" }
$\mathbb{C}^n$ 은 [[복소벡터공간,complex_vector_space]].
// =,complex_vector_space =,complex_vector_space . complex_vector_space {  complex vector space  MKL [[복소수,complex_number]]  https://mathworld.wolfram.com/ComplexVectorSpace.html  Ggl:"complex vector space"  "complex vector space"  }
}


[[https://terms.naver.com/entry.naver?docId=4125300&cid=60207&categoryId=60207 수학백과: 벡터공간]]

https://planetmath.org/vectorspace

[[WtEn:vector_space]] = https://en.wiktionary.org/wiki/vector_space
 [[Date(2023-11-07T00:37:50)]] 단어관계만 대충 보면
 syn. [[선형공간,linear_space]]
 Up(hypernym):
  [[module]]
  [[free_module]]
 Sub(hyponym):
  [[algebra_over_a_field]] - [[WtEn:algebra_over_a_field]]
  [[Banach_space]] - [[WtEn:Banach_space]]
  [[Euclidean_space]] - [[WtEn:Euclidean_space]]
  [[inner_product_space]] - [[WtEn:inner_product_space]]
  [[normed_vector_space]] - [[WtEn:normed_vector_space]]
  [[quadratic_space]] - [[WtEn:quadratic_space]]  x 2023-11-07
  [[real_vector_space]] - [[WtEn:real_vector_space]]

[[WpKo:벡터_공간]] = https://ko.wikipedia.org/wiki/벡터_공간
[[WpSp:Vector_space]] = https://simple.wikipedia.org/wiki/Vector_space
[[WpEn:Vector_space]] = https://en.wikipedia.org/wiki/Vector_space
[[WpJa:ベクトル空間]] = https://ja.wikipedia.org/wiki/ベクトル空間

...
Ndict:벡터공간
Ggl:벡터공간
Ggl:vector+space

Syn.
[[선형공간,linear_space]]과 동의어.

[[벡터,vector]]는 '''벡터공간'''의 [[원소,element]]? chk

Up: [[벡터,vector]] [[공간,space]]

Sub:
[[힐베르트_공간,Hilbert_space]]?