적분 방정식 이론에서, 프레드홀름 연산자(Fredholm operator)는 그 핵과 여핵이 유한차원인 유계선형작용소이다.

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dbpedia-owl:abstract
  • 적분 방정식 이론에서, 프레드홀름 연산자(Fredholm operator)는 그 핵과 여핵이 유한차원인 유계선형작용소이다.
  • Нётеровым оператором называется оператор, у которого и ядро, и коядро конечномерны.
  • In matematica, in particolare all'interno della teoria di Fredholm, un operatore di Fredholm è un operatore lineare limitato tra spazi di Banach il cui nucleo e conucleo hanno dimensione finita, e la sua immagine è chiusa, sebbene quest'ultima richiesta sia ridondante.
  • In mathematics, a Fredholm operator is an operator that arises in the Fredholm theory of integral equations. It is named in honour of Erik Ivar Fredholm.A Fredholm operator is a bounded linear operator between two Banach spaces whose kernel and cokernel are finite-dimensional and whose range is closed. (The last condition is actually redundant.) Equivalently, an operator T : X → Y is Fredholm if it is invertible modulo compact operators, i.e., if there exists a bounded linear operatorsuch thatare compact operators on X and Y respectively.The index of a Fredholm operator isor in other words,see dimension, kernel, codimension, range, and cokernel.
  • In der Funktionalanalysis, einem Teilgebiet der Mathematik, ist die Klasse der Fredholm-Operatoren (nach E. I. Fredholm) ein bestimmte Klasse linearer Operatoren, die man „fast“ invertieren kann. Jedem Fredholm-Operator ordnet man eine ganze Zahl zu, diese wird Fredholm-Index, analytischer Index oder kurz Index genannt.
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  • 적분 방정식 이론에서, 프레드홀름 연산자(Fredholm operator)는 그 핵과 여핵이 유한차원인 유계선형작용소이다.
  • Нётеровым оператором называется оператор, у которого и ядро, и коядро конечномерны.
  • In matematica, in particolare all'interno della teoria di Fredholm, un operatore di Fredholm è un operatore lineare limitato tra spazi di Banach il cui nucleo e conucleo hanno dimensione finita, e la sua immagine è chiusa, sebbene quest'ultima richiesta sia ridondante.
  • In der Funktionalanalysis, einem Teilgebiet der Mathematik, ist die Klasse der Fredholm-Operatoren (nach E. I. Fredholm) ein bestimmte Klasse linearer Operatoren, die man „fast“ invertieren kann. Jedem Fredholm-Operator ordnet man eine ganze Zahl zu, diese wird Fredholm-Index, analytischer Index oder kurz Index genannt.
  • In mathematics, a Fredholm operator is an operator that arises in the Fredholm theory of integral equations. It is named in honour of Erik Ivar Fredholm.A Fredholm operator is a bounded linear operator between two Banach spaces whose kernel and cokernel are finite-dimensional and whose range is closed.
rdfs:label
  • Opérateur de Fredholm
  • Fredholm operator
  • Fredholm-Operator
  • Operatore di Fredholm
  • Нётеров оператор
  • フレドホルム作用素
  • 프레드홀름 연산자
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