## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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Page 1270

The

The

**problem**of determining whether a given symmetric operator has a self adjoint extension is of crucial importance in determining whether the spectral theorem may be employed . If the answer to this**problem**is affirmative , it is ...Page 1748

Linear Hyperbolic Equations and the Cauchy

Linear Hyperbolic Equations and the Cauchy

**Problem**The present section is devoted to the proof ( as simplified by P. Lax ) of the interesting and important theorem of K. O. Friedrichs on symmetric hyperbolic systems .Page 1831

Infinite J - matrices and a matrix moment

Infinite J - matrices and a matrix moment

**problem**. Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125–128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . 8 . On the trace formula in perturbation theory . Mat .### What people are saying - Write a review

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additive adjoint operator algebra analytic assume B-algebra basis belongs Borel set boundary conditions boundary values bounded called clear closed closure commutative compact complex Consequently consider constant contains converges Corollary corresponding defined Definition denote dense determined eigenvalues element equal equation Exercise exists extension fact finite dimensional follows formal formal differential operator formula function function f given Hence Hilbert space Hilbert-Schmidt ideal identity independent inequality integral interval isometric isomorphism Lemma limit linear matrix measure multiplicity neighborhood norm normal operator obtained orthonormal positive preceding present projection proof properties prove range regular representation respectively restriction result satisfies seen sequence shown shows solution spectral spectrum square-integrable statement subset subspace sufficient Suppose symmetric Theorem theory topology transform uniformly unique unit unitary vanishes vector zero