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  2. Spectrum (topology) - Wikipedia

    en.wikipedia.org/wiki/Spectrum_(topology)

    Download as PDF; Printable version; ... In algebraic topology, a branch of mathematics, a spectrum is an object representing a ... which gives an 8-periodic spectrum.

  3. Spectrum (functional analysis) - Wikipedia

    en.wikipedia.org/wiki/Spectrum_(functional_analysis)

    In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a generalisation of the set of eigenvalues of a matrix.

  4. Spectral theory - Wikipedia

    en.wikipedia.org/wiki/Spectral_theory

    The spectrum of T is the set of all complex numbers ζ such that R ζ fails to exist or is unbounded. Often the spectrum of T is denoted by σ(T). The function R ζ for all ζ in ρ(T) (that is, wherever R ζ exists as a bounded operator) is called the resolvent of T. The spectrum of T is therefore the complement of the resolvent set of T in ...

  5. Discrete spectrum (mathematics) - Wikipedia

    en.wikipedia.org/.../Discrete_spectrum_(Mathematics)

    A point in the spectrum of a closed linear operator: in the Banach space with domain is said to belong to discrete spectrum of if the following two conditions are satisfied: [1] λ {\displaystyle \lambda } is an isolated point in σ ( A ) {\displaystyle \sigma (A)} ;

  6. Decomposition of spectrum (functional analysis) - Wikipedia

    en.wikipedia.org/wiki/Decomposition_of_spectrum...

    The spectrum of T restricted to H ac is called the absolutely continuous spectrum of T, σ ac (T). The spectrum of T restricted to H sc is called its singular spectrum, σ sc (T). The set of eigenvalues of T is called the pure point spectrum of T, σ pp (T). The closure of the eigenvalues is the spectrum of T restricted to H pp.

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  8. Spectrum - Wikipedia

    en.wikipedia.org/wiki/Spectrum

    The spectrum in a rainbow. A spectrum (pl.: spectra or spectrums) [1] is a condition that is not limited to a specific set of values but can vary, without gaps, across a continuum. The word spectrum was first used scientifically in optics to describe the rainbow of colors in visible light after passing through a prism.

  9. These 5 billionaires were the biggest net-worth winners today ...

    www.aol.com/5-billionaires-were-biggest-net...

    Net worth: $220.8 billion Larry Ellison, the founder and chief technology officer of Oracle, gained $11.7 billion as Oracle shares rallied with the broader tech sector. The stock ended the day 5.5 ...

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