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Volumn 29, Issue 4, 2000, Pages 425-431

Gleason'S theorem has a constructive proof

Author keywords

Constructive mathematics; Gleason's theorem; Principal axes theorem

Indexed keywords


EID: 27444437293     PISSN: 00223611     EISSN: 15730433     Source Type: Journal    
DOI: 10.1023/A:1004791723301     Document Type: Article
Times cited : (6)

References (9)
  • 1
    • 0039427416 scopus 로고    scopus 로고
    • A constructive formulation of Gleason's theorem
    • Billinge, Helen (1997) A constructive formulation of Gleason's theorem, J. Philosophical Logic 26, 661-670.
    • (1997) J. Philosophical Logic , vol.26 , pp. 661-670
    • Billinge, H.1
  • 2
    • 84972497978 scopus 로고
    • A constructive look at positive linear functionals on ℒ(H)
    • Bridges, Douglas (1981) A constructive look at positive linear functionals on ℒ(H), Pacific J. Math. 95, 11-25.
    • (1981) Pacific J. Math. , vol.95 , pp. 11-25
    • Bridges, D.1
  • 3
    • 0000426538 scopus 로고
    • Constructive mathematics and unbounded operators - A reply to Hellman
    • Bridges, Douglas (1995) Constructive mathematics and unbounded operators - a reply to Hellman, J. Philosophical Logic 24, 549-561.
    • (1995) J. Philosophical Logic , vol.24 , pp. 549-561
    • Bridges, D.1
  • 4
  • 5
    • 0000278073 scopus 로고
    • Measures on the closed subspaces of a Hilbert space
    • Gleason, Andrew M. (1957) Measures on the closed subspaces of a Hilbert space, J. Math. Mech. 6, 885-893.
    • (1957) J. Math. Mech. , vol.6 , pp. 885-893
    • Gleason Andrew, M.1
  • 6
    • 0000689872 scopus 로고
    • Gleason's theorem is not constructively provable
    • Hellman, Geoffrey (1993) Gleason's theorem is not constructively provable, J. Philosophical Logic 22, 193-203.
    • (1993) J. Philosophical Logic , vol.22 , pp. 193-203
    • Hellman, G.1
  • 8
    • 0039427414 scopus 로고    scopus 로고
    • A constructive proof of Gleason's theorem
    • Richman, Fred, and Douglas Bridges (1999) A constructive proof of Gleason's theorem, Journal of Functional Analysis 162, 287-312.
    • (1999) Journal of Functional Analysis , vol.162 , pp. 287-312
    • Richman, F.1    Bridges, D.2
  • 9
    • 38249043534 scopus 로고
    • Diagonalization of continuous matrices as a representation of the intuitionistic reals
    • Scedrov Andre (1986) Diagonalization of continuous matrices as a representation of the intuitionistic reals, Ann. Pure Appl. Logic 30, 201-206.
    • (1986) Ann. Pure Appl. Logic , vol.30 , pp. 201-206
    • Andre, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.