Hilbert space

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Related to Hilbert space: vector space, Banach space
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Noun1.Hilbert space - a metric space that is linear and complete and (usually) infinite-dimensional
metric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality
Hilbertin avaruus
espace de Hilbert
spazio di Hilbertspazio hilbertiano
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We provide some additional results related to Krein's resolvent formula for the case where operator A is a symmetric operator whose domain is not dense in the Hilbert space H.
1) the fact that T*T = 0 implies T = 0 for operators on Hilbert space is used.
Among his topics are elements of measure theory, a Hilbert space interlude, linear transformations, locally convex spaces, and Banach algebras and spectral theory.
Let A be a positive self-adjoint linear operator from H to H, where H is a real separable Hilbert space with inner product denoted by (*,*).
To make most effective use of contemporary mathematical software, it is especially useful to analyze optical pumping situations in the Liouville space of density matrices rather than in the traditional Hilbert space of wave functions.
It was a follow-up to the Workshops on Trilinear Forms in Hilbert Space, Interpolation, and Related Topics held in Lund in 2003 and in 2005.
Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H.
Approximately dual frames are studied in the Hilbert space setting.
H], where H is the reproducing kernel Hilbert space as defined in Section-2.
It is explained in the previous section that the required Hilbert space contains functions that have the given total spin and parity.