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Volumn 134, Issue 1, 1999, Pages 1-33

Complexifications of real Banach spaces, polynomials and multilinear maps

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EID: 0002442258     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (115)

References (35)
  • 1
    • 0000303130 scopus 로고
    • Analytic operations in real Banach spaces
    • A. Alexiewicz and W. Orlicz, Analytic operations in real Banach spaces, Studia Math. 14 (1953), 57-78.
    • (1953) Studia Math. , vol.14 , pp. 57-78
    • Alexiewicz, A.1    Orlicz, W.2
  • 2
    • 0000515863 scopus 로고
    • Polynomials in many variables: Real vs complex norms
    • R. Aron, B. Beauzamy and P. Enflo, Polynomials in many variables: Real vs complex norms, J. Approx. Theory 74 (1993), 181-198.
    • (1993) J. Approx. Theory , vol.74 , pp. 181-198
    • Aron, R.1    Beauzamy, B.2    Enflo, P.3
  • 4
    • 0002889121 scopus 로고
    • The generalized Rademacher functions
    • R. Aron, M. Lacruz, R. Ryan and A. Tonge, The generalized Rademacher functions, Note Mat. 12 (1992), 15-25.
    • (1992) Note Mat. , vol.12 , pp. 15-25
    • Aron, R.1    Lacruz, M.2    Ryan, R.3    Tonge, A.4
  • 5
    • 0010724943 scopus 로고
    • Characterization of real inner product spaces by means of symmetric bilinear forms
    • C. Benítez and Y. Sarantopoulos, Characterization of real inner product spaces by means of symmetric bilinear forms, J. Math. Anal. Appl. 180 (1993), 207-220.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 207-220
    • Benítez, C.1    Sarantopoulos, Y.2
  • 8
    • 0010968555 scopus 로고
    • Analytic functions in Banach spaces
    • J. Bochnak, Analytic functions in Banach spaces, Studia Math. 35 (1970), 273-292.
    • (1970) Studia Math. , vol.35 , pp. 273-292
    • Bochnak, J.1
  • 9
    • 0002178644 scopus 로고
    • Polynomials and multilinear mappings in topological vector spaces
    • J. Bochnak and J. Siciak, Polynomials and multilinear mappings in topological vector spaces, ibid. 39 (1971), 59-76.
    • (1971) Studia Math. , vol.39 , pp. 59-76
    • Bochnak, J.1    Siciak, J.2
  • 12
    • 0000430630 scopus 로고
    • Some properties of functions of exponential type
    • R. Duffin and A. C. Shaeffer, Some properties of functions of exponential type, Bull. Amer. Math. Soc. 44 (1938), 236-240.
    • (1938) Bull. Amer. Math. Soc. , vol.44 , pp. 236-240
    • Duffin, R.1    Shaeffer, A.C.2
  • 13
    • 0000183574 scopus 로고
    • Some remarks on polynomials
    • P. Erdos, Some remarks on polynomials, ibid. 53 (1947), 1169-1176.
    • (1947) Bull. Amer. Math. Soc. , vol.53 , pp. 1169-1176
    • Erdos, P.1
  • 14
    • 0002975215 scopus 로고
    • Résumé de la théorie métrique des produits tensoriels topologiques
    • A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. São Paulo 8 (1953/56), 1-79.
    • (1953) Bol. Soc. Mat. São Paulo , vol.8 , pp. 1-79
    • Grothendieck, A.1
  • 15
    • 0003378393 scopus 로고
    • Bounds on the derivatives of holomorphic functions of vectors
    • Colloque d'Analyse (Rio de Janeiro, 1972), L. Nachbin (ed.), Hermann, Paris
    • L. A. Harris, Bounds on the derivatives of holomorphic functions of vectors, in: Colloque d'Analyse (Rio de Janeiro, 1972), L. Nachbin (ed.), Actualités Sci. Indust. 1367, Hermann, Paris, 1975, 145-163.
    • (1975) Actualités Sci. Indust. , vol.1367 , pp. 145-163
    • Harris, L.A.1
  • 16
    • 0040499337 scopus 로고
    • Polynomial operators
    • Topics in Mathematical Analysis, Th. M. Rassias (ed.)
    • D. H. Hyers, Polynomial operators, in: Topics in Mathematical Analysis, Th. M. Rassias (ed.), World Sci., 1989, 410-444.
    • (1989) World Sci. , pp. 410-444
    • Hyers, D.H.1
  • 21
    • 0038622477 scopus 로고
    • Characterization of complex couple spaces
    • A. D. Michal and M. Wyman, Characterization of complex couple spaces, Ann. of Math. 42 (1941), 247-250.
    • (1941) Ann. of Math. , vol.42 , pp. 247-250
    • Michal, A.D.1    Wyman, M.2
  • 23
    • 0004199875 scopus 로고
    • Deutscher Verlag Wiss., North-Holland, 1980
    • A. Pietsch, Operator Ideals, Deutscher Verlag Wiss., 1978; North-Holland, 1980.
    • (1978) Operator Ideals
    • Pietsch, A.1
  • 24
    • 0003206141 scopus 로고
    • Factorization of linear operators and geometry of Banach spaces
    • Amer. Math. Soc.
    • G. Pisier, Factorization of Linear Operators and Geometry of Banach Spaces, CBMS Regional Conf. Ser. in Math. 60, Amer. Math. Soc., 1986.
    • (1986) CBMS Regional Conf. Ser. in Math. , vol.60
    • Pisier, G.1
  • 25
    • 0039906391 scopus 로고
    • A generalization of an inequality of V. Markov to multivariate polynomials
    • H.-J. Rack, A generalization of an inequality of V. Markov to multivariate polynomials, J. Approx. Theory 35 (1982), 94-97.
    • (1982) J. Approx. Theory , vol.35 , pp. 94-97
    • Rack, H.-J.1
  • 26
    • 0040499335 scopus 로고
    • A generalization of an inequality of V. Markov to multivariate polynomials, II
    • _, A generalization of an inequality of V. Markov to multivariate polynomials, II, ibid. 40 (1984), 129-133.
    • (1984) J. Approx. Theory , vol.40 , pp. 129-133
  • 27
    • 0039314073 scopus 로고
    • On multivariate polynomials of least deviation from zero on the unit cube
    • M. Reimer, On multivariate polynomials of least deviation from zero on the unit cube, ibid. 23 (1978), 65-69.
    • (1978) J. Approx. Theory , vol.23 , pp. 65-69
    • Reimer, M.1
  • 28
    • 84976155331 scopus 로고
    • Bounds on the derivatives of polynomials on normed spaces
    • Y. Sarantopoulos, Bounds on the derivatives of polynomials on normed spaces, Math. Proc. Cambridge Philos. Soc. 110 (1991), 307-312.
    • (1991) Math. Proc. Cambridge Philos. Soc. , vol.110 , pp. 307-312
    • Sarantopoulos, Y.1
  • 31
    • 0000938808 scopus 로고
    • Additions to the theory of polynomials in normed linear spaces
    • A. E. Taylor, Additions to the theory of polynomials in normed linear spaces, Tôhoku Math. J. 44 (1938), 302-318.
    • (1938) Tôhoku Math. J. , vol.44 , pp. 302-318
    • Taylor, A.E.1
  • 32
    • 0041093451 scopus 로고
    • Analysis in complex Banach spaces
    • _, Analysis in complex Banach spaces, Bull. Amer. Math. Soc. 49 (1943), 652-659.
    • (1943) Bull. Amer. Math. Soc. , vol.49 , pp. 652-659
  • 33
    • 0003227837 scopus 로고
    • Banach-Mazur distances and finite dimensional operator ideals
    • Longman Sci. Tech.
    • N. Tomczak-Jaegermann, Banach-Mazur Distances and Finite Dimensional Operator Ideals, Pitman Monographs Surveys Pure Appl. Math. 38, Longman Sci. Tech., 1989.
    • (1989) Pitman Monographs Surveys Pure Appl. Math. , vol.38
    • Tomczak-Jaegermann, N.1
  • 34
    • 0040499333 scopus 로고
    • A generalization of Chebyshev's inequality to polynomials in more than one variable
    • C. Visser, A generalization of Chebyshev's inequality to polynomials in more than one variable, Indag. Math. 8 (1946), 310-311.
    • (1946) Indag. Math. , vol.8 , pp. 310-311
    • Visser, C.1
  • 35
    • 0040499331 scopus 로고
    • Real and complex operator ideals
    • J. Wenzel, Real and complex operator ideals, Quaestiones Math. 18 (1995), 271-285.
    • (1995) Quaestiones Math. , vol.18 , pp. 271-285
    • Wenzel, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.