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

### From inside the book

Results 1-3 of 80

Page 860

A B - algebra X is commutative in case xy yx for all x and y in X. An involution in a

A B - algebra X is commutative in case xy yx for all x and y in X. An involution in a

**B**-**algebra**X is a mapping x ... the exception of Lil - 00 , 0 ) and the class of analytic functions , are commutative**B**-**algebras**with involutions .Page 860

A B - algebra X is commutative in case xy = yx for all x and y in X. An involution in a

A B - algebra X is commutative in case xy = yx for all x and y in X. An involution in a

**B**-**algebra**X is a mapping ... the exception of Li ( -00,00 ) and the class of analytic functions , are commutative**B**-**algebras**with involutions .Page 868

Commutative

Commutative

**B**-**Algebras**a In case X is a commutative**B**-**algebra**every ideal I is two - sided and the quotient algebra X3 is again a commutative algebra . It will be a**B**-**algebra**if I is closed ( 1.13 ) . It is readily seen that every ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

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