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Spectral Theorem: Linear Algebra, Functional Analysis, Linear Map, Vector Space, Theorem, Diagonal Matrix, Multiplication Operator, C*-algebra, Self-adjoint Operator -

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2026-03-21
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, particularly linear algebra and functional analysis, the spectral theorem is any of a number of results about linear operators or about matrices. In broad terms the spectral theorem provides conditions under which an operator or a matrix can be diagonalized (that is ... Pilns apraksts

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, particularly linear algebra and functional analysis, the spectral theorem is any of a number of results about linear operators or about matrices. In broad terms the spectral theorem provides conditions under which an operator or a matrix can be diagonalized (that is, represented as a diagonal matrix in some basis). This concept of diagonalization is relatively straightforward for operators on finite-dimensional spaces, but requires some modification for operators on infinite-dimensional spaces. In general, the spectral theorem identifies a class of linear operators that can be modelled by multiplication operators, which are as simple as one can hope to find. In more abstract language, the spectral theorem is a statement about commutative C*-algebras. See also spectral theory for a historical perspective.

Vairāk informācijas

Izdevējs OmniScriptum
Izlaides gads 2026
Vāka tips Mīkstais vāks
EAN 9786130315726
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138,79 € 213,53 €