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In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) is either of two things: a way of representing commutative...

commutative C*-algebra then the Berkovich spectrum is the same as the Gelfand spectrum. A point of the Gelfand spectrum is essentially a homomorphism to C {\displaystyle...

In mathematics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction designed to link the distribution...

commutative Gelfand–Naimark theorem) states that any commutative C*-algebra is isomorphic to an algebra of continuous functions on its Gelfand spectrum. It can...

Moreover, their prime spectrum deformation retracts onto the maximal spectrum. Mulvey, Christopher J. (1979), "A generalisation of Gelʹfand duality.", J. Algebra...

is normal, the Gelfand representation is isometric; in particular, it is injective and its image is closed. But the image of the Gelfand representation...

using a generalization of the notion of Gelfand spectrum for commutative unital C*-algebras. The Berkovich spectrum of a Banach k-algebra A is the set of...

characterizations in terms of states of A. The spectrum of a commutative C*-algebra A coincides with the Gelfand dual of A (not to be confused with the dual...

In operator theory, the Gelfand–Mazur theorem is a theorem named after Israel Gelfand and Stanisław Mazur which states that a Banach algebra with unit...

are now known as von Neumann algebras. Around 1943, the work of Israel Gelfand and Mark Naimark yielded an abstract characterisation of C*-algebras making...

problem, the Marchenko equation (or Gelfand-Levitan-Marchenko equation or GLM equation), named after Israel Gelfand, Boris Levitan and Vladimir Marchenko...

Spectrum of a C*-algebra Positive element Positive linear functional operator algebra nest algebra reflexive operator algebra Calkin algebra Gelfand representation...

Rosenberg, Noncommutative smooth spaces, The Gelfand Mathematical Seminars, 1996–1999, 85–108, Gelfand Math. Sem., Birkhäuser, Boston 2000; arXiv:math/9812158...

collaboration with Israel Gelfand in the 1930s and 1940s led to several fundamental results in functional analysis, including the 1943 Gelfand–Naimark theorem and...

29–30. Gelfand & Shilov 1966–1968, p. 212. The numerical factors depend on the conventions for the Fourier transform. Bracewell 1986. Gelfand & Shilov...

elements of the spectrum: ρ ( A ) = sup λ ∈ σ ( A ) | λ | {\displaystyle \rho (A)=\sup _{\lambda \in \sigma (A)}|\lambda |} Gelfand's formula, also known...

90 (8): 4836–4845. doi:10.1210/jc.2004-2063. PMID 15840738. Sherwin BB, Gelfand MM, Brender W (1985). "Androgen enhances sexual motivation in females:...

this to address Banach algebras in general. This development leads to the Gelfand representation, which covers the commutative case, and further into non-commutative...

a broad-spectrum antibiotic with activity against numerous gram-positive and gram-negative bacteria.[citation needed] Given its broad spectrum of activity...

\left\langle \psi _{n},f^{\otimes n}\right\rangle .} Depending on the choice of Gelfand triple, the white noise test functions and distributions are characterized...