SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS

1960 ◽  
Vol 11 (1) ◽  
pp. 50-59 ◽  
Author(s):  
L. MIRSKY
Keyword(s):  
Unitarily Invariant Norms ◽  
Gauge Functions ◽  
Symmetric Gauge

Isometries of symmetric gauge functions

1991 ◽  
Vol 30 (1-2) ◽  
pp. 81-92 ◽  
Author(s):  
Dragomir Ž. Đoković ◽  
Chi-Kwong Li ◽  
Leiba Rodman
Keyword(s):  
Gauge Functions ◽  
Symmetric Gauge

scholarly journals Inequalities for certain Classes of Convex Functions

1959 ◽  
Vol 11 (4) ◽  
pp. 231-235 ◽  
Author(s):  
L. Mirsky
Keyword(s):  
Simple Proof ◽  
Convex Functions ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Fan Theorem ◽  
Special Cases ◽  
Gauge Functions ◽  
Ky Fan ◽  
Ky Fan Theorem ◽  
Symmetric Gauge

Making use of properties of doubly-stochastic matrices, I recently gave a simple proof (4) of a theorem of Ky Fan (Theorem 2b below) on symmetric gauge functions. I now propose to show that the same idea can be employed to derive a whole series of results on convex functions ; in particular, certain well-known inequalities of Hardy-Littlewood-Pólya and of Pólya will emerge as specìal cases.

On the unitarily invariant norms and some related results

1987 ◽  
Vol 20 (2) ◽  
pp. 107-119 ◽  
Author(s):  
Chi-Kwong Li ◽  
Nam-Kiu Tsing
Keyword(s):  
Unitarily Invariant Norms

Refinements of Inequalities Related to Landau–Grüss Inequalities for Elementary Operators Acting on Ideals Associated to p-Modified Unitarily Invariant Norms

2016 ◽  
Vol 12 (1) ◽  
pp. 195-205 ◽  
Author(s):  
Danko R. Jocić ◽  
Đorđe Krtinić ◽  
Milan Lazarević ◽  
Petar Melentijević ◽  
Stefan Milošević
Keyword(s):  
Unitarily Invariant Norms ◽  
Elementary Operators
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