Subdeterminants and subgraphs
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Antonín Vrba (1974)
Časopis pro pěstování matematiky
Shmuel Friedland (2020)
Applications of Mathematics
In this paper we consider two versions of the Collatz-Wielandt quotient for a pair of nonnegative operators that map a given pointed generating cone in the first space into a given pointed generating cone in the second space. If the two spaces and two cones are identical, and is the identity operator, then one version of this quotient is the spectral radius of . In some applications, as commodity pricing, power control in wireless networks and quantum information theory, one needs to deal with...
Xiao-Dong Zhang, Chang-Xing Ding (2009)
Czechoslovak Mathematical Journal
In this paper, necessary and sufficient conditions for equality in the inequalities of Oppenheim and Schur for positive semidefinite matrices are investigated.
Gautschi, Walter (2002)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Christos H. Papadimitriou (1984)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Xu, Wei-Wei, Cai, Li-Xia, Li, Wen (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Liu, Jianzhou, Zhang, Juan, Liu, Yu (2009)
Journal of Inequalities and Applications [electronic only]
Horn, Roger A., Kittaneh, Fuad (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Jiří Seitz (1936)
Aktuárské vědy
Leo Livshits, Gordon MacDonald, Heydar Radjavi (2011)
Studia Mathematica
We show that any compact semigroup of n × n matrices is similar to a semigroup bounded by √n. We give examples to show that this bound is best possible and consider the effect of the minimal rank of matrices in the semigroup on this bound.
László, Lajos (1998)
Mathematica Pannonica
Wen, Jia-jin, Zhang, Zhi-hua (2006)
Applied Mathematics E-Notes [electronic only]
Tikhonov, Oleg Evgen'evich, Dinh Trung Hoa (2007)
Lobachevskii Journal of Mathematics
Gabriel Larotonda (2016)
Studia Mathematica
If a,b are n × n matrices, T. Ando proved that Young’s inequality is valid for their singular values: if p > 1 and 1/p + 1/q = 1, then for all k. Later, this result was extended to the singular values of a pair of compact operators acting on a Hilbert space by J. Erlijman, D. R. Farenick and R. Zeng. In this paper we prove that if a,b are compact operators, then equality holds in Young’s inequality if and only if .
А.С. Маркус, И.В. Мереуца (1975)
Matematiceskie issledovanija
А.С. Маркус, Е.Э. Парилис (1980)
Matematiceskie issledovanija
Н.Я. Крупник, E.M. Шпигель (1982)
Matematiceskie issledovanija
С.А. Сандер (1989)
Sibirskij matematiceskij zurnal
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