# Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras

Studia Mathematica (1995)

- Volume: 115, Issue: 1, page 87-103
- ISSN: 0039-3223

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topBarnes, Bruce. "Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras." Studia Mathematica 115.1 (1995): 87-103. <http://eudml.org/doc/216200>.

@article{Barnes1995,

abstract = {The notion of convergence in the generalized sense of a sequence of closed operators is generalized to the situation where the closed operators involved are affiliated with a Banach algebra of operators. Also, the concept of convergence in the generalized sense is extended to the context of a LMC-algebra, where it applies to the spectral theory of the algebra.},

author = {Barnes, Bruce},

journal = {Studia Mathematica},

keywords = {convergence in the generalized sense; spectral theory; LMC-algebra; closed operators; affiliated with a Banach algebra of operators},

language = {eng},

number = {1},

pages = {87-103},

title = {Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras},

url = {http://eudml.org/doc/216200},

volume = {115},

year = {1995},

}

TY - JOUR

AU - Barnes, Bruce

TI - Convergence in the generalized sense relative to Banach algebras of operators and in LMC-algebras

JO - Studia Mathematica

PY - 1995

VL - 115

IS - 1

SP - 87

EP - 103

AB - The notion of convergence in the generalized sense of a sequence of closed operators is generalized to the situation where the closed operators involved are affiliated with a Banach algebra of operators. Also, the concept of convergence in the generalized sense is extended to the context of a LMC-algebra, where it applies to the spectral theory of the algebra.

LA - eng

KW - convergence in the generalized sense; spectral theory; LMC-algebra; closed operators; affiliated with a Banach algebra of operators

UR - http://eudml.org/doc/216200

ER -

## References

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- [TL] A. Taylor and D. Lay, Introduction to Functional Analysis, 2nd ed., Wiley, New York, 1980.

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