Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Cover of the book
Tytuł książki

Free topological vector spaces

Autorzy
Seria
Rozprawy Matematyczne tom/nr w serii: 221 wydano: 1984
Zawartość
Warianty tytułu
Abstrakty
EN
CONTENTS
Preface.................................................................................................5
Chapter 0. Preliminaries and notation..................................................6
PART I. Free topological vector spaces - Introduction..........................9
Chapter 1. Universal arrows...............................................................10
Chapter 2. Free locally convex topological vector spaces..................12
Chapter 3. Free normed spaces........................................................23
Chapter 4. Uniform pairs....................................................................32
PART II. Properties of the free functors - Introduction........................40
Chapter 5. Monads, comonads and extension...................................40
Chapter 6. Invariance and tensors.....................................................54
PART III. Free complete topological vector spaces - Introduction.......63
Chapter 7. Measure spaces and completion......................................64
Chapter 8. Properties of the completion.............................................77
Chapter 9. Variations on a theme.......................................................86
Appendix............................................................................................90
References........................................................................................91
List of notation...................................................................................94
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne tom/nr w serii: 221
Liczba stron
95
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCXXI
Daty
wydano
1984
Twórcy
autor
Bibliografia
  • [GJ] R. Gillman and L. Jerison, Rings of Continuous Functions, Van Nostrand, Princeton, N.J. I960.
  • [HR] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, I, Springer-Verlag, Berlin 1963.
  • [I] J. R. Isbell Uniform Spaces, Mathematical Surveys, 12, American Mathematical Society, Providence, R.I. 1964.
  • [JK] J. L. Kelley, General Topology, Van Nostrand, New York 1955.
  • [K] G. Köthe, Topological Vector Spaces I, Springer-Verlag, Berlin 1969.
  • [Mac L] S. Mac Lane, Categories for the Working Mathematician, Graduate Texts in Mathematics, 5, Springer-Verlag, Berlin 1971.
  • [ZS] Z. Semadeni, Banach Spaces of Continuous Functions I, Monografie Matematyczne, 55, Warsaw 1971.
  • R. Arens and J. Eells [a], On embedding uniform and topological spaces. Pacific J. Math. 6 (1956), 397-403.
  • N. Aronszajn and P. Panitchpakdi, [a] Extension of uniformly continuous transformations and hyperconvex metric spaces, Pacific J. Math. 6 (1956), 405-439.
  • C. J. K. Batty, [a] Tensor products of compact convex sets and. Banach algebras. Math. Proc. Cambridge Philos. Soc. 83 (1978), 419-427.
  • R. H. Bing, [a] Metrization of topological spaces, Canad. J. Math. 3 (1951), 175-186.
  • G. Birkhoff, [a] Lattice Theory, Colloquium Publ. 25, Amer. Math. Soc., Providence, R.I. 1967; 3rd ed.
  • W. W. Comfort, [a] On the Hewitt realcompactification of a product space. Trans. Amer. Math. Soc. 131 (1968), 107-118.
  • C. H. Dowker, [a] On a theorem of Hanner, Ark. Mat. 2 (1952), 307-313.
  • R. E. Edwards, [a] Integration and Harmonic Analysis on Compact Groups, Notes on Pure Mathematics 5, Australian National University, Canberra 1970.
  • S. Eilenberg and G. M. Kelly, [a] Closed categories, in: Proceedings of the Conference on Categorical Algebra, La Jolla 1965, Springer-Verlag, Berlin 1966, 421-562.
  • J. E. Fenstadt, [a] On l-groups of uniformly continuous functions, I, Math. Z. 82 (1963), 434-444.
  • J. E. Fenstadt, [b] On l-groups of uniformly continuous functions, II, ibid. 83 (1964), 46-56.
  • J. Flood, [a] Semiconvex Geometry, J. Austral. Math. Soc. (Ser. A) 30 (1981), 496-510.
  • I. Glicksberg, [a] The representation of functionals by integrals, Duke Math. J. 19 (1952), 253-266.
  • M. I. Graev, [a] Free topological groups (Russian), Izv. Akad. Nauk SSSR Ser. Mat. 12 (1948), 279-324 ; English translation: Amer. Math. Soc. Transl. (1) 8 (1962), 305-364.
  • A. Grothendieck, [a] Critères de compacité dans les espaces fonctionnels generaux. Amer. J. Math. 74 (1952), 168-186.
  • A. W. Hager, [a] Vector lattices of uniformly continuous functions and some categorical methods in uniform spaces, in TOPO 72 — General Topology and its Applications, Lecture Notes in Math. 378, Springer-Verlag, Berlin 1972, 172-187.
  • F. Hausdorff, [a] Erweiterung einer Homomorphie, Fund. Math. 16 (1930), 353-360.
  • H. Herrlich, [a] Topologische Reflexionen und Coreflexionen, Lecture Notes in Math. 78, Springer-Verlag, Berlin 1968.
  • J. R. Isbell, [a] Euclidean and weak uniformities, Pacific J. Math. 8 (1958), 67-86.
  • J. R. Isbell, [b] Six theorems about injective metric spaces, Comment. Math. Helv. 39 (1964), 65-76.
  • M. Katelov, [a] Extensions of locally finite covers (Russian), Colloq. Math. 6 (1958), 145-151.
  • M. Katelov, [b] On certain projectively generated continuity structures, in: Celebrazioni archimedee de secolo Simposio di topologia, 1964, 47-50.
  • M. Katelov, [c] Projectively generated continuity structures: a correction, Comment. Math. Univ. Carolinae 6 (1965), 251-255.
  • J. L. Kelly, I. Namioka, et al., [a] Linear Topological Spaces, Van Nostrand, Princeton, NJ. 1963.
  • S. S. Khurana, [a] Topologies on spaces of vector-valued continuous functions, Trans. Amer. Math. Soc. 241 (1978), 195-211.
  • S. S. Khurana, [b] Topologies on spaces of vector-valued continuous functions, II, Math. Ann. 234 (1978), 159-166.
  • R. B. Kirk, [a] Complete topologies on spaces of Baire measure, Trans. Amer. Math. Soc. 184 (1973), 1-29.
  • R. B. Kirk, [b] A note on the Mackey topology for $(C^b(X)*, C^b(X))$, Pacific J. Math. 45 (1973), 543-554.
  • R. Kirk and R. Rehmer, [a] A complete space of vector-valued measures, Proc. Amer. Math. Soc. 70 (2) (1978), 119-125.
  • F. W. Lawvere, [a] Functional semantics of algebraic theories, Proc. Nat. Acad. Sci. USA 50 (1963), 869-873.
  • F. E. J. Linton, [a] An outline of functorial semantics, Seminar on Triples and Categorical Homology Theory, Lecture Notes in Math. 80, Springer-Verlag, Berlin 1969, 7-53.
  • E. J. McShane, [a] Extension of range of junctions, Bull. Amer. Math. Soc. 40 (1934), 837-842.
  • A. A. Markov, [a] On free topological groups (Russian), Dokl. Akad. Nauk Ukrain. SSR 31 (1941), 295-301 ; see also Izv. Akad. Nauk SSSR Ser. Mat. 9 (1945), 3-64; English translation: Amer. Math. Soc. Transl. (1) 8 (1962), 195-272.
  • A. A. Markov, [b] On the existence of periodic connected topological groups, Izv. Akad. Nauk SSSR Ser. Mat. 8 (1944), 225-232; English translation: Amer. Math. Soc. Transl. (1) 8 (1962), 187-194.
  • E. Michael, [a] Continuous selections, I, Ann. of Math. (2) 63 (1956), 361-382.
  • E. Michael, [b] Three mapping theorems, Proc. Amer. Math. Soc. 15 (1964), 410-414.
  • E. Michael, [c] A short proof of the Arens-Eells embedding theorem, Proc. Amer. Math. Soc. 15 (1964), 415-416.
  • E. Michael, [d] A selection theorem, Proc. Amer. Math. Soc. 17 (1966), 1404-1406.
  • C. Mulvey, [a] Intuitionistic algebra and representations of rings, in: Recent advances in the representation theory of rings and C*-algebras, Mem. Amer. Math. Soc. Providence, R.I. 1974, 3-57.
  • L. Nachbin, [a] A theorem of the Hahn-Banach type for linear topological vector spaces, Trans. Amer. Math. Soc. 68 (1950), 28-45.
  • L. Nachbin, [b] Topological vector spaces of continuous functions, Proc. Nat. Acad. Sci. USA 40 (1954), 471-474.
  • P. Nanzetta and D. Plank, [a] Closed ideals in C(X), Proc. Amer. Math. Soc. 35 (1972), 601-606.
  • V. Pták, [a] On complete topological linear spaces, Czechoslovak Math. J. 78 (1953), 301-364.
  • V. Pták, [b] A combinatorial lemma on the existence of convex means and its application to weak compactness, in: Proceedings of Symposia in Pure Mathematics: VI. Convexity, Mem. Amer. Math. Soc. Providence, R. I, 1963, 437-450.
  • V. Pták, [c] An extension theorem for separately. continuous functions and its application to functional analysis, Comment. Math. Univ. Carolinae 4 (1963), 109-116.
  • V. Pták, [d] Algebraic extensions of topological spaces, in: Contributions to Extension Theory of Topological Structures, Proc. Sympos. Berlin 1967, Deutsch. Verlag Wissenschaften, Berlin 1969, 179-188.
  • D. A. Raikov, [a] Free locally convex spaces for uniform spaces, Mat. Sb. 63 (105) (1964), 582-590.
  • P. Samuel, [a] Ultrafilters and compactifications. Trans. Amer. Math. Soc. 64 (1948), 100-132.
  • H. H. Schaefer, [a] Topological Vector Spaces, MacMillan, New York 1966.
  • Z. Semadeni, [a] Monads and their Eilenberg-Moore Algebras in Functional Analysis, Queens Papers in Pure and Applied Mathematics 33.
  • L. I. Sennot, [a] Note on a problem of Katetov, in: TOPO 72 — General Topology and its Applications, Lecture Notes in Math. 378, Springer-Verlag, Berlin 1972, 436-442.
  • H. L. Shapiro, [a] Extensions of pseudometrics, Canad. J. Math. 18 (1966), 981-998.
  • J. C. Smith and L. L. Krajewski, [a] Expandability and collectionwise normality, Trans. Amer. Math. Soc. 160 (1971), 437-451.
  • T. Świrszcz, [a] Monadic functors and categories of convex sets, preprint Proc. Inst. Math. Pol. Acad. Sci., Warsaw 1973.
  • T. Świrszcz, [b] Monadic functors in convexity, Bull. Acad. Polon. Sci. 22 (1974), 39-42.
  • R. F. Wheeler [a] Weak and pointwise compactness in the space of bounded continuous functions. Trans. Amer. Math. Soc. 206 (1981) 515-530.
  • O. Wyler, [a] On the categories of general topology and topological algebra, Ark. Mat. 22 (1971), 7-17.
Języki publikacji
EN
Uwagi
Identyfikator YADDA
bwmeta1.element.zamlynska-0bb07cd8-2d9d-4e2a-a1db-7063e37edbcf
Identyfikatory
ISBN
83-01-04178-1
ISSN
0012-3862
Kolekcja
DML-PL
Zawartość książki

rozwiń roczniki

JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.