unitary space
type: Concept
preferred label: فضای یکانی @fa
related: inner product space

linear functions space
type: Concept
preferred label: فضای توابع خطی @fa
related: inner product space

adjoint operator
type: Concept
preferred label: عملگر الحاقی @fa
related: inner product space

Parseval identity
type: Concept
broader: inner product space
preferred label: اتحاد پارسوال @fa

semi-inner product
type: Concept
broader: inner product space
preferred label: حاصل‌ضرب نیم‌داخلی @fa

pre-Hilbert space
type: Concept
broader: inner product space
preferred label: فضای پیش هیلبرت @fa

Hilbert space
type: Concept
broader: inner product space
preferred label: فضای هیلبرت @fa

parallelogram law
type: Concept
broader: inner product space
preferred label: قانون متوازی الاضلاع @fa

Lax-Milgram theorem
type: Concept
broader: inner product space
preferred label: قضیه لکس-میلگرام @fa

fuctional analysis
type: Concept
narrower: inner product space
preferred label: آنالیز تابعی @fa

positive definite function
type: Concept
preferred label: تابع معین مثبت @fa
related: inner product space

Riesz-Fischer theorem
type: Concept
preferred label: قضیه ریس-فیشر @fa
related: inner product space

inner product space
type: Concept
broader: topological space
broader: fuctional analysis
narrower: semi-inner product
narrower: Parseval identity
narrower: Lax-Milgram theorem
narrower: Hilbert space
narrower: parallelogram law
narrower: pre-Hilbert space
preferred label: فضای ضرب داخلی @fa
related: positive definite function
related: unitary operator
related: unitary linear transformation
related: normal operator
related: Riesz-Fischer theorem
related: unitary space
related: adjoint operator
related: linear functions space
related: normed vector space
related: Cauchy-Schwarz inequality
related: exact frame
related: non-degenerate form
related: cap product
related: quadratic form
related: frame (linear algebra)
related: Euclidean vector space

topological space
type: Concept
narrower: inner product space
preferred label: فضای توپولوژیک @fa

cap product
type: Concept
preferred label: حاصل‌ضرب تاقی @fa
related: inner product space

quadratic form
type: Concept
preferred label: صورت درجه دوم @fa
related: inner product space

non-degenerate form
type: Concept
preferred label: صورت ناتباهیده @fa
related: inner product space

unitary linear transformation
type: Concept
preferred label: تبدیل خطی یکانی @fa
related: inner product space

Euclidean vector space
type: Concept
preferred label: فضای برداری اقلیدسی @fa
related: inner product space

normed vector space
type: Concept
preferred label: فضای برداری نرم‌دار @fa
related: inner product space

exact frame
type: Concept
preferred label: قاب دقیق @fa
related: inner product space

frame (linear algebra)
type: Concept
preferred label: قاب_جبرخطی @fa
related: inner product space

Cauchy-Schwarz inequality
type: Concept
preferred label: نامساوی کوشی-شوارتز @fa
related: inner product space

normal operator
type: Concept
preferred label: عملگر نرمال @fa
related: inner product space

unitary operator
type: Concept
preferred label: عملگر یکانی @fa
related: inner product space