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Tytuł książki

Automatic continuity of generalized intertwining operators

Autorzy

K. B. Laursen

Seria

Rozprawy Matematyczne tom/nr w serii: 189 wydano: 1981

Zawartość

Pełne teksty:
rm189_01.pdf

Warianty tytułu

Abstrakty

EN

CONTENTS

Introduction................................................. 5
1. Basic concepts and terminology................ 9
2. Generalized intertwining maps................... 12
3. Commutative regular algebras................... 18
4. C*-algebras.................................................... 25
5. Algebras of differentiable functions............ 31
Bibliography........................................................ 51

Słowa kluczowe

Tematy

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 189

Liczba stron

52

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CLXXXIX

Daty

wydano
1981

Twórcy

autor
K. B. Laursen

Bibliografia

  • [1] G. R. Allan, Embedding the algebra of formal power series in a Banach algebra, Proc. London Math. Soc. (3) 25 (1972), 329-340.
  • [2] G. R. Allan and A. M. Sinclair, Power factorization in Banach algebras with a bounded approximate identity, Stud. Math. 56 (1976), 31-38.
  • [3] M. F. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley, 1969.
  • [4] W. G. Bade and P. C. Curtis Jr., Homomorphisms of commutative Banach algebras, Amer. J. Math. 82 (1960), 589-608.
  • [5] W. G. Bade and P. C. Curtis Jr. The continuity of derivations of Banach algebras, I. Funct. Anal. 16 (1974), 372-387.,
  • [6] W. G. Bade and P. C. Curtis Jr. The structure of module derivations of Banach algebras of differentiate functions, J. Funct. Anal. 28 (1978), 226-247.
  • [7] W. G. Bade and P. C. Curtis Jr. Prime ideals and automatic continuity problems for Banach algebras, J. Funct. Anal., 29 (1978), 88-103.
  • [8] W. G. Bade, P. C. Curtis Jr. and K. B. Laursen, Automatic continuity in algebras of differentiable functions. Math. Scand., 40 (1977), 249-270.
  • [9] W. G. Bade, P. C. Curtis Jr. and K. B. Laursen, Divisible subspaces and problems in automatic continuity, Studia Math. 68 (1980), 159-186.
  • [10] F. F. Bonsall and J. Duncan. Complete normed algebras. Ergebnisse der Mathemalik und ihrer Grenzgebiete, 80; Springer-Verlag, 1973.
  • [11] F. Combes, Quelques propriétés des C*-algèbres, Bull. Sci. Math. 94 (1970), 165-192.
  • [12] J. Cuntz, On the continuity of semi-norms on operator algebras. Math. Ann. 220 (1976), 171-183.
  • [13] H. G. Dales, The uniqueness of the functional calculus, Proc. London Maih. Soc. (3) 27 (1973), 638-648.
  • [14] H. G. Dales, Automatic continuity: a survey, Bull. London Math. Soc. 10 (1978), 129-183.
  • [15] H. G. Dales and J. Esterle, Discontinuous homomorphisms from C(X), Bull. Amer. Math. Soc. 83 (1977), 257-259.
  • [16] H. G. Dales and J. P. McClure, Higher point derivations on commutative Banach algebras I, J. Funct. Anal. 26 (1977), 166-189.
  • [17] C. Foiaş and F. H. Vasilescu, Non-analytic local functional calculus, Czech. Math. J. 24 (99), (1974), 270-283.
  • [18] B. E. Johnson, Continuity of homomorphisms of algebras of operators, J. London Math. 42 (1967), 537-541.
  • [19] B. E. Johnson, Continuity of homomorphisms of algebras of operators (II), ibid. (2) 1 (1969), 81-84.
  • [20] B. E. Johnson and A. M. Sinclair, Continuity of linear operators commuting with continuous linear operators II, Trans. Amer. Math. Soc. 146 (1969), 533-540.
  • [21] K. B. Laursen, On discontinuous homomorphisms of $L^1(G)$, Math. Scand. 30 (1972), 263-266.
  • [22] K. B. Laursen, Continuity of linear maps from C*-algebras, Pac. J. Math. 61 (1976). 483-491.
  • [23] K. B. Laursen, Some remarks on automatic continuity. Springer Lecture Notes in Mathematics 512 11976). 96-108.
  • [24] K. B. Laursen and A. M. Sinclair, Lifting matrix units in C*-algebras II, Math. Scand. 37 (1975), 167-172.
  • [25] K. B. Laursen and J. D. Stein Jr., Automatic continuity in Banach spaces and algebras, Amer. J. Math. 95 (1974), 485-506.
  • [26] L. H. Loomis, An introduction to abstract harmonic analysis, Van Nostrand, 1953.
  • [27] R. J. Loy, Multilinear mappings and Banach algebras, J. London Math. Soc. (2) 14 (1976), 423-429.
  • [28] M. A. Naimark, Normed rings, Noordhoff, 1964.
  • [29] T. Ogasawara, Finite dimensionality of certain Banach algebras, J. Sci Hiroshima Univ. 17 (1954), 359-364.
  • [30] J. R. Ringrose, Automatic continuity of derivations of operator algebras, J. London Math. Soc. (2) 5 (1972), 432-438.
  • [31] W. Rudin, Fourier analysis on groups, Interscience 1967.
  • [32] S. Sakai, On a conjecture of Kaplansky, Tohoku Math, J. 12 (1960), 31-33.
  • [33] S. Sakai, The theory of unbounded derivations in C*-algebras, preprint.
  • [34] A. M. Sinclair, Homomorphisms from $C_0(R)$, J. London Math. Soc. (2) 11 (1975), 165-174.
  • [35] A. M. Sinclair, Homomorphisms from C-algebras, Proc. London Math. Soc, (3) 29 (1974), 435-452; Corrigendum 32 (1976), 322.
  • [36] A. M. Sinclair, Automatic continuity of linear operators, London Math. Soc. Lecture Notes Series 21 (1976).
  • [37] J. D. Stein Jr., Some aspects of automatic continuity, Pac. J. Math. 50 (1974), 187-204.
  • [38] M. Thomas, Automatic continuity for linear functions intertwining continuous linear operators on Frechét spaces, Canad. J. Math. 30 (1978), 518-530.
  • [39] F. Treves, Topological vector spaces, distributions and kernels. Academic Press, 1967.

Języki publikacji

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Identyfikator YADDA

bwmeta1.element.zamlynska-5d574672-5436-4818-9c75-b0d8b168e5e7

Identyfikatory

ISBN
83-01-01252-8
ISSN
0012-3862

Kolekcja

DML-PL
Zawartość książki

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