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

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0 , a is isomorphic with the complex field , and it turns out that the

0 , a is isomorphic with the complex field , and it turns out that the

**regular**maximal ideals of L ( R ) are in one - to - one correspondence with the points of Mo , i.e. , with all the maximal ideals of the algebra obtained by ...Page 1505

A

A

**regular**point of a differential equation may be regarded as a special case of a**regular**singular point at which the exponents are zero and one . If Lf = 0 is a differential equation with rational coefficients and a**regular**singularity ...Page 1917

( See Reflexivity )

( See Reflexivity )

**Regular**closure , ( 462–463 )**Regular**convexity , ( 462–463 )**Regular**element in a B - algebra , IX.1.2 ( 861 )**Regular**element in a ring , ( 40 )**Regular**method of summability , II.4.35 ( 75 )**Regular**point of a ...### 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