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Strongly subadditive functions.
- Source :
- Acta Mathematica Hungarica; Sep2010, Vol. 128 Issue 4, p386-394, 9p
- Publication Year :
- 2010
-
Abstract
- Let f: ℝ<superscript>+</superscript> → ℝ. The subject is the trace inequality Tr f( A) + Tr f( P<subscript>2</subscript> AP<subscript>2</subscript>) ≦ Tr f( P<subscript>12</subscript> AP<subscript>12</subscript>) + Tr f( P<subscript>23</subscript> AP<subscript>23</subscript>), where A is a positive operator, P<subscript>1</subscript>; P<subscript>2</subscript>; P<subscript>3</subscript> are orthogonal projections such that P<subscript>1</subscript> + P<subscript>2</subscript> + P<subscript>3</subscript> = I, P<subscript>12</subscript> = P<subscript>1</subscript> + P<subscript>2</subscript> and P<subscript>23</subscript> = P<subscript>2</subscript> + P<subscript>3</subscript>. There are several examples of functions f satisfying the inequality (called (SSA)) and the case of equality is described. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 128
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 52471754
- Full Text :
- https://doi.org/10.1007/s10474-010-9222-7