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Volumn 126, Issue 8, 1998, Pages 2427-2432

A decreasing operator function associated with the furuta inequality

Author keywords

Furuta inequality; L wner Heinz inequality

Indexed keywords


EID: 22044446600     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04632-2     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 2442592867 scopus 로고
    • Log-majorization and complementary Golden-Thompson type inequalities
    • MR 95d:15006
    • T. Ando and F. Hiai, Log-majorization and complementary Golden-Thompson type inequalities, Linear Alg. and Its Appl. 197, 198 (1994), 113-131. MR 95d:15006
    • (1994) Linear Alg. and Its Appl. , vol.197-198 , pp. 113-131
    • Ando, T.1    Hiai, F.2
  • 2
    • 0002695534 scopus 로고
    • Furuta's inequality and its mean theoretic approach
    • MR 91g:47012
    • M. Fujii, Furuta's inequality and its mean theoretic approach, J. Operator Theory 23 (1990), 67-72. MR 91g:47012
    • (1990) J. Operator Theory , vol.23 , pp. 67-72
    • Fujii, M.1
  • 3
    • 21144467926 scopus 로고
    • Furuta's inequality and its application to Ando's theorem
    • MR 93j:47026
    • M. Fujii, T. Furuta and E. Kamei, Furuta's inequality and its application to Ando's theorem, Linear Aig. and Its Appl. 179 (1993), 161-169. MR 93j:47026
    • (1993) Linear Aig. and Its Appl. , vol.179 , pp. 161-169
    • Fujii, M.1    Furuta, T.2    Kamei, E.3
  • 4
    • 21444459455 scopus 로고    scopus 로고
    • Mean theoretic approach to the grand Furuta inequality
    • MR 96k:47032
    • M. Fujii and E. Kamei, Mean theoretic approach to the grand Furuta inequality, Proc. Amer. Math. Soc. 124 (1996), 2751-2756. MR 96k:47032
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 2751-2756
    • Fujii, M.1    Kamei, E.2
  • 5
    • 84968476176 scopus 로고
    • (P+2r)/q for r ≥ 0, p ≥ 0, q ≥ 1 with (1 + 2r)q ≥ p + 2r
    • MR 89b:47028
    • (P+2r)/q for r ≥ 0, p ≥ 0, q ≥ 1 with (1 + 2r)q ≥ p + 2r, Proc. Amer. Math. Soc. 101 (1987), 85-88. MR 89b:47028
    • (1987) Proc. Amer. Math. Soc. , vol.101 , pp. 85-88
    • Furuta, T.1
  • 6
    • 0039614583 scopus 로고
    • A proof via operator means of an order preserving inequality
    • MR 89k:47023
    • T. Furuta, A proof via operator means of an order preserving inequality, Linear Alg. and Its Appl. 113(1989), 129-130. MR 89k:47023
    • (1989) Linear Alg. and Its Appl. , vol.113 , pp. 129-130
    • Furuta, T.1
  • 7
    • 0000047447 scopus 로고
    • Elementary proof of an order preserving inequality
    • MR 90g:47029
    • T. Furuta, Elementary proof of an order preserving inequality, Proc. Japan Acad. 65 (1989), 126. MR 90g:47029
    • (1989) Proc. Japan Acad. , vol.65 , pp. 126
    • Furuta, T.1
  • 8
    • 84968476298 scopus 로고
    • Two operator functions with monotone property
    • MR 91f:47023
    • T. Furuta, Two operator functions with monotone property, Proc. Amer. Math. Soc. 111 (1991), 511-516. MR 91f:47023
    • (1991) Proc. Amer. Math. Soc. , vol.111 , pp. 511-516
    • Furuta, T.1
  • 9
    • 0000280352 scopus 로고
    • Applications of order preserving operator inequalities
    • MR 94m:47033
    • T. Furuta, Applications of order preserving operator inequalities, Operator Theory: Advances and Applications 59 (1992), 180-190. MR 94m:47033
    • (1992) Operator Theory: Advances and Applications , vol.59 , pp. 180-190
    • Furuta, T.1
  • 10
    • 0039807185 scopus 로고
    • Extension of the Furuta inequality and Ando-Hiai log-majorization
    • MR 96k:47031
    • T. Furuta, Extension of the Furuta inequality and Ando-Hiai log-majorization, Linear Alg. and Its Appl. 219 (1995), 139-155. MR 96k:47031
    • (1995) Linear Alg. and Its Appl. , vol.219 , pp. 139-155
    • Furuta, T.1
  • 11
    • 3643146631 scopus 로고    scopus 로고
    • (1+r)/(p+r) for p ≥ 1 and r ≥ 0"
    • MR 98b:47024
    • (1+r)/(p+r) for p ≥ 1 and r ≥ 0", Math. Japon. 45 (1997), 203-209. MR 98b:47024
    • (1997) Math. Japon. 45 , pp. 203-209
    • Puruta, T.1
  • 12
    • 0000667789 scopus 로고
    • An operator inequality
    • MR 82a:46065
    • F. Hansen, An operator inequality, Math. Ann. 246 (1980), 249-250. MR 82a:46065
    • (1980) Math. Ann. , vol.246 , pp. 249-250
    • Hansen, F.1
  • 13
    • 34250940948 scopus 로고
    • Beiträge zur Störungstheorie der Spektralzerlegung
    • MR 13:471f
    • E. Heinz, Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123 (1951), 415-438. MR 13:471f
    • (1951) Math. Ann. , vol.123 , pp. 415-438
    • Heinz, E.1
  • 14
    • 0000974027 scopus 로고
    • A satellite to Furuta's inequality
    • MR 89m:47011
    • B. Kamei, A satellite to Furuta's inequality. Math. Japon 33 (1988), 883-886. MR 89m:47011
    • (1988) Math. Japon , vol.33 , pp. 883-886
    • Kamei, B.1
  • 15
    • 34250967722 scopus 로고
    • Ober monotone Matrixfunktionen
    • K. Löwner, Ober monotone Matrixfunktionen, Math. Z. 38 (1934), 177-216.
    • (1934) Math. Z. , vol.38 , pp. 177-216
    • Löwner, K.1
  • 16
    • 21844516674 scopus 로고    scopus 로고
    • Best possibility of the Furuta inequality
    • MR 96d:47025
    • K. Tanahashi, Best possibility of the Furuta inequality, Proc. Amer. Math. Soc. 124 (1996), 141-146. MR 96d:47025
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 141-146
    • Tanahashi, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.