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Longer titles found: Freudenthal spectral theorem (view)

searching for Spectral theorem 17 found (139 total)

alternate case: spectral theorem

Characterization (mathematics) (1,517 words) [view diff] exact match in snippet view article

and the spectral theorem is likewise for symmetric matrices (if real) or Hermitian matrices (if complex). According to the spectral theorem, the real
Fredholm operator (1,476 words) [view diff] case mismatch in snippet view article find links to article
EMS Press Bruce K. Driver, "Compact and Fredholm Operators and the Spectral Theorem", Analysis Tools with Applications, Chapter 35, pp. 579–600. Robert
Strictly singular operator (1,526 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \lambda \in \sigma (T)} is an eigenvalue. This same "spectral theorem" consisting of (i)-(iv) is satisfied for inessential operators in B(X)
Jordan operator algebra (2,686 words) [view diff] exact match in snippet view article find links to article
compact Hausdorff space X, the space of characters of the algebra. Spectral theorem. If a is a single operator in a JB algebra, the closed subalgebra generated
Holomorphic functional calculus (5,482 words) [view diff] exact match in snippet view article find links to article
make sense is f be defined on the spectrum of T. For example, the spectral theorem for normal matrices states every normal matrix is unitarily diagonalizable
Variational method (quantum mechanics) (2,033 words) [view diff] exact match in snippet view article
eigenvectors { | ψ λ ⟩ } {\displaystyle \{|\psi _{\lambda }\rangle \}} (see spectral theorem for Hermitian operators for the mathematical background): ⟨ ψ λ 1 |
Probability amplitude (3,522 words) [view diff] exact match in snippet view article find links to article
rigged Hilbert space, however, the rigorous notion of eigenstates from spectral theorem as well as spectral decomposition is preserved. Let μ p p {\displaystyle
Criticism of nonstandard analysis (3,520 words) [view diff] case mismatch in snippet view article find links to article
"Constructive Mathematics and Quantum Mechanics: Unbounded Operators and the Spectral Theorem". Journal of Philosophical Logic. 12 (3): 221–248. doi:10.1007/BF01049303
Quantum state (5,551 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-3-540-70622-9. Hall, B. C. (2013). "Chapter 6: Perspectives on the Spectral Theorem". Quantum Theory for Mathematicians. Graduate Texts in Mathematics
Numerical range (2,893 words) [view diff] exact match in snippet view article find links to article
eigenbasis, so it reduces to (1). Since A {\textstyle A} is normal, by the spectral theorem, there exists a unitary matrix U {\textstyle U} such that A = U D U
Quantum game theory (3,349 words) [view diff] exact match in snippet view article find links to article
Accardi and A. Boukas (for infinite games) within the framework of the spectral theorem for self-adjoint operators on Hilbert spaces. Quantum versions of Von
Representation theory of SU(2) (3,369 words) [view diff] exact match in snippet view article
SU(2), since the elements are orthogonally diagonalizable with the spectral theorem. Since the irreducible representation with highest weight m {\displaystyle
Sturm–Liouville theory (4,722 words) [view diff] exact match in snippet view article find links to article
and eigenfunctions which form an orthonormal basis follows from the spectral theorem for compact operators. Finally, note that ( L − z ) − 1 u = α u , L
Grunsky matrix (6,334 words) [view diff] exact match in snippet view article find links to article
u)=(Tu,Tu)=\|Tu\|^{2}\geq 0,} so that A is a positive operator. By the spectral theorem for compact self-adjoint operators, there is an orthonormal basis un
Arithmetic Fuchsian group (3,844 words) [view diff] exact match in snippet view article find links to article
L^{2}(S)} of square-integrable functions on S {\displaystyle S} . The spectral theorem in Riemannian geometry states that there exists an orthonormal basis
Ergodic flow (5,093 words) [view diff] exact match in snippet view article find links to article
0. Since g(s)ξ = ξ, it follows P[a,b]ξ = 0 in either case. By the spectral theorem, it follows that ξ is in the spectral subspace P({0}); in other words
Neumann–Poincaré operator (11,017 words) [view diff] exact match in snippet view article find links to article
u)=(Tu,Tu)=\|Tu\|^{2}\geq 0,}} so that A is a positive operator. By the spectral theorem for compact self-adjoint operators, there is an orthonormal basis un