Multipliers of topological algebras

Husain, Taqdir

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Tytuł książki

Multipliers of topological algebras

Autorzy

Taqdir Husain

Seria

Rozprawy Matematyczne tom/nr w serii: 285 wydano: 1989

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Abstrakty

CONTENTS
1. Introduction.............................................................................................5
2. Multipliers of topological algebras...........................................................6
3. Multipliers of topological algebras with orthogonal bases......................11
4. π-Algebras............................................................................................18
5. Orthogonal decomposition of topological algebras................................21
6. Π-Algebras associated with orthogonal decompositions........................24
7. Perturbation of orthogonal bases..........................................................27
8. Banach algebras with unconditional bases and multipliers....................31
References................................................................................................36

Słowa kluczowe

orthogonal basis multipliers Banach and Fréchet algebras derived and π-algebras orthogonal Schauder decomposition perturbation of bases

Tematy

Kategoryzacja MSC:

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Seria

Rozprawy Matematyczne tom/nr w serii: 285

Liczba stron

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CCLXXXV

Daty

wydano

1989

Twórcy

autor

Taqdir Husain

Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario Canada L8S 4K1

Bibliografia

[1] T. Husain, The open mapping and closed graph theorems in topological vector spaces, Oxford Math. Monograph 1965, second printing, R. E. Krieger Pub. Co., 1976.
[2] T. Husain, Multiplicative functionals on topological algebras. Pitman Advanced Publishing Program #85, Boston 1983.
[3] T. Husain, Topological algebras isomorphic and homeomorphic with $l_1$ or H(D), Punjab Univ. J. Math. 14-15 (1981-82), 1-14.
[4] T. Husain, Banach algebras isomorphic with $c_0$, Punjab Univ. J. Math. 16 (1983), 1-4.
[5] T. Husain, Orthogonal primitive idempotents and Banach algebras isomorphic with $l_2$, Pacific J. Math. 117 (1956), 313-327.
[6] T. Husain and J. Liang, Multiplicative functionals on Fréchet algebras, Canad. J. Math. 29 (1977), 270-276.
[7] T. Husain and S. Watson, Topological algebras with orthogonal Schauder basis, Pacific J. Math. 91 (1980), 339-347.
[8] T. Husain and S. Watson, Unconditional orthogonal bases, Proc. Amer. Math. Soc. 79 (1980), 539-545.
[9] T. Husain and S. El-Helaly, Unconditionality of orthogonal bases in $B_0$-algebras, Comm. Math., to appear.
[10] K. Jarosz, Perturbations of Banach algebras, Lecture Notes in Math. 1120, Spinger-Verlag, Berlin 1985.
[11] B. Z. Johnson, Perturbations of Banach Algebras, Proc. London Math. Soc. (3) 34 (1977), 439-458.
[12] R. Larson, Introduction to the theory of multipliers, Gründlagen Math. Wiss. 175, Springer-Verlag, Berlin 1971.
[13] J, T. Marti, Introduction to Theory of Bases, Springer-Verlag, Berlin 1969.
[14] E. A. Michael, Locally multiplicatively convex topological algebras, Mem. Amer. Math. Soc. 11, 1952.
[15] H. H. Schaefer, Topological Vector Spaces, Springer-Verlag, New York-Heidelberg 1970, 3rd ed. 1971.
[16] W. Żelazko, Banach Algebras, Elsevier, Amsterdam 1973.

Języki publikacji

Uwagi

Erratum: On page 18, in Denition 4.2, add the words "the identity e and" between
"containing" and $"{x_i}"$.

1980 Mathematics Subject Classification: Primary 46H10, 46H15, 46H20

Identyfikator YADDA

bwmeta1.element.zamlynska-9905dff5-13ef-405e-8be5-dc7eeb8a183e

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ISBN

83-01-09038-3

ISSN

0012-3862

Kolekcja

DML-PL

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