메뉴 건너뛰기




Volumn 197, Issue 1, 2003, Pages 68-109

Joint similarity and dilations for noncontractive sequences of operators

Author keywords

Characteristics function; Fock space; Free semigroup; Isometric dilation; Joint similarity; Noncontractive sequence

Indexed keywords


EID: 0037428612     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(02)00082-4     Document Type: Article
Times cited : (1)

References (23)
  • 1
    • 0003636616 scopus 로고
    • Indefinite Inner Product Spaces
    • Ergebnisse der Mathematik und ihrer Grenzgebiete Band 78, Springer, New York, Heidelberg
    • J. Bognár, Indefinite Inner Product Spaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 78, Springer, New York, Heidelberg, 1974.
    • (1974)
    • Bognár, J.1
  • 2
    • 0040795146 scopus 로고
    • Models for n-tuples of noncommuting operators
    • J.W. Bunce, Models for n-tuples of noncommuting operators, J. Funct. Anal. 57 (1984) 21-30.
    • (1984) J. Funct. Anal. , vol.57 , pp. 21-30
    • Bunce, J.W.1
  • 3
    • 0002945750 scopus 로고
    • On unitary dilation and characteristic functions in indefinite inner product spaces
    • Birkhäuser, Basel
    • T. Constantinescu, A. Gheondea, On unitary dilation and characteristic functions in indefinite inner product spaces, in: Operator Theory: Advances and Applications, Vol. 24, Birkhäuser, Basel, 1987, pp. 87-102.
    • (1987) Operator Theory: Advances and Applications , vol.24 , pp. 87-102
    • Constantinescu, T.1    Gheondea, A.2
  • 4
    • 0001466898 scopus 로고
    • Elementary rotations of linear operators in Kreǐn spaces
    • T. Constantinescu, A. Gheondea, Elementary rotations of linear operators in Kreǐn spaces, J. Operator Theory 29 (1993) 167-203.
    • (1993) J. Operator Theory , vol.29 , pp. 167-203
    • Constantinescu, T.1    Gheondea, A.2
  • 5
    • 0002731215 scopus 로고
    • J-Unitary dilations of a general operator
    • Ch. Davis, J-Unitary dilations of a general operator, Acta Sci. Math. (Szeged) 31 (1970) 75-86.
    • (1970) Acta Sci. Math. (Szeged) , vol.31 , pp. 75-86
    • Davis, Ch.1
  • 6
    • 0000519532 scopus 로고
    • Operators with bounded characteristic function and their J-unitary dilation
    • Ch. Davis, C. Foiaş, Operators with bounded characteristic function and their J-unitary dilation, Acta Sci. Math. (Szeged) 32 (1971) 127-139.
    • (1971) Acta Sci. Math. (Szeged) , vol.32 , pp. 127-139
    • Davis, Ch.1    Foiaş, C.2
  • 7
    • 0003405647 scopus 로고
    • Linear Operators. Part III: Spectral Operators
    • Wiley, New York, London, Sydney, Toronto
    • N. Dunford, J.T. Schwartz, Linear Operators. Part III: Spectral Operators, Wiley, New York, London, Sydney, Toronto, 1971.
    • (1971)
    • Dunford, N.1    Schwartz, J.T.2
  • 8
    • 0002451378 scopus 로고
    • Models for noncommuting operators
    • A.E. Frazho, Models for noncommuting operators, J. Funct. Anal. 48 (1982) 1-11.
    • (1982) J. Funct. Anal. , vol.48 , pp. 1-11
    • Frazho, A.E.1
  • 9
    • 85007949061 scopus 로고
    • Canonical forms of unbounded unitary operators in Krei̧n spaces
    • A. Gheondea, Canonical forms of unbounded unitary operators in Krei̧n spaces, Publ. Res. Inst. Math. Sci. Kyoto Univ. 24 (1988) 205-224.
    • (1988) Publ. Res. Inst. Math. Sci. Kyoto Univ. , vol.24 , pp. 205-224
    • Gheondea, A.1
  • 10
    • 85041865779 scopus 로고    scopus 로고
    • An Indefinite Excursion in Operator Theory
    • in preparation
    • A. Gheondea, An Indefinite Excursion in Operator Theory, in preparation.
    • Gheondea, A.1
  • 11
    • 84972538120 scopus 로고
    • Shifts on indefinite inner product spaces
    • B. McEnnis, Shifts on indefinite inner product spaces, Pacific J. Math. 81 (1979) 113-130.
    • (1979) Pacific J. Math. , vol.81 , pp. 113-130
    • McEnnis, B.1
  • 12
    • 0002501221 scopus 로고
    • Characteristic functions and dilations of noncontractions
    • B. McEnnis, Characteristic functions and dilations of noncontractions, J. Operator Theory 3 (1980) 71-87.
    • (1980) J. Operator Theory , vol.3 , pp. 71-87
    • McEnnis, B.1
  • 13
    • 84972526587 scopus 로고
    • Shifts on indefinite inner product spaces. II
    • B. McEnnis, Shifts on indefinite inner product spaces. II, Pacific J. Math. 100 (1982) 177-183.
    • (1982) Pacific J. Math. , vol.100 , pp. 177-183
    • McEnnis, B.1
  • 14
    • 0013464501 scopus 로고
    • Shifts on Krei̧n spaces
    • B. McEnnis, Shifts on Krei̧n spaces, Proc. Sympos. Pure Math. 51 (1990) 201-211.
    • (1990) Proc. Sympos. Pure Math. , vol.51 , pp. 201-211
    • McEnnis, B.1
  • 15
    • 33646944717 scopus 로고
    • Every completely polynomially bounded operator is similar to a contraction
    • V.I. Paulsen, Every completely polynomially bounded operator is similar to a contraction, J. Funct. Anal. 55 (1984) 1-17.
    • (1984) J. Funct. Anal. , vol.55 , pp. 1-17
    • Paulsen, V.I.1
  • 16
    • 0000037512 scopus 로고
    • Models for infinite sequences of noncommuting operators
    • G. Popescu, Models for infinite sequences of noncommuting operators, Acta. Sci. Math. (Szeged) 53 (1989) 355-368.
    • (1989) Acta Sci. Math. (Szeged) , vol.53 , pp. 355-368
    • Popescu, G.1
  • 17
    • 80955179187 scopus 로고
    • Isometric dilations for infinite sequences of noncommuting operators
    • G. Popescu, Isometric dilations for infinite sequences of noncommuting operators, Trans. Amer. Math. Soc. 316 (1989) 523-536.
    • (1989) Trans. Amer. Math. Soc. , vol.316 , pp. 523-536
    • Popescu, G.1
  • 18
    • 0002100766 scopus 로고
    • Characteristic functions for infinite sequences of noncommuting operators
    • G. Popescu, Characteristic functions for infinite sequences of noncommuting operators, J. Operator Theory 22 (1989) 51-71.
    • (1989) J. Operator Theory , vol.22 , pp. 51-71
    • Popescu, G.1
  • 20
    • 0000694383 scopus 로고
    • Functional calculus for noncommuting operators
    • G. Popescu, Functional calculus for noncommuting operators, Michigan Math. J. 42 (1995) 345-356.
    • (1995) Michigan Math. J. , vol.42 , pp. 345-356
    • Popescu, G.1
  • 21
    • 0001925669 scopus 로고
    • Multi-analytic operators on Fock spaces
    • G. Popescu, Multi-analytic operators on Fock spaces, Math. Ann. 303 (1995) 31-46.
    • (1995) Math. Ann. , vol.303 , pp. 31-46
    • Popescu, G.1
  • 22
    • 21344451348 scopus 로고    scopus 로고
    • Noncommutative disc algebras and their representations
    • G. Popescu, Noncommutative disc algebras and their representations, Proc. Amer. Math. 124 (1996) 2137-2148.
    • (1996) Proc. Amer. Math. , vol.124 , pp. 2137-2148
    • Popescu, G.1
  • 23
    • 0003911815 scopus 로고
    • Harmonic Analysis of Operators on Hilbert Space
    • North-Holland, New York
    • B. Sz.-Nagy, C. Foiaş, Harmonic Analysis of Operators on Hilbert Space, North-Holland, New York, 1970.
    • (1970)
    • Sz.-Nagy, B.1    Foiaş, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.