Aluthge transforms of operators

By Il Bong Jung, Eungil Ko, C. Pearcy. 2000

173 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/855d99f98435f74d8983dfa337a9b5a818cdb4a7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. T. Yamazaki
2. Eungil Ko
3. J. Lee
4. Sungeun Jung
5. M. Lee
6. I. Jung
7. Pintu Bhunia
8. Kallol Paul

In Applied Mathematics

1. Pintu Bhunia
2. Kallol Paul
3. T. Yamazaki
4. Santanu Bag
5. Eungil Ko
6. J. Lee
7. Sungeun Jung
8. M. Lee

In Mathematical Physics

1. T. Yamazaki
2. Eungil Ko
3. J. Lee
4. Sungeun Jung
5. M. Lee
6. I. Jung
7. Pintu Bhunia
8. Kallol Paul

Citations in the corpus

• SEPARATING PARTIAL NORMALITY CLASSES WITH COMPOSITION OPERATORS (2005, methodology): “A tool which has been of considerable use in operator theory in recent years is the Aluthge transform [1], [17]: For any operator A, let A = U|A| be the canonical polar decomposition for A.”
• Aluthge Transforms of Complex Symmetric Operators (2008, unknown): “This transformation arose in the study of hyponormal operators [1] and has since been studied in many different contexts [3, 4, 5, 6, 8, 9, 10, 32].”
• The Iterated Aluthge Transform of an Operator (2003, background): “Conjecture 1.11 in [ 6 ] and its modified version below (Conjecture 5.6).”
• On local spectral properties of complex symmetric operators (2011, methodology): “Then by [17], Lat(T ) is nontrivial.”
• Bounds of numerical radius of bounded linear operators using t-Aluthge transform (2019, methodology): “It follows easily from the definition of T that T ≤ T and r ( T ) = r ( T ), also w ( T ) ≤ w ( T ) (see [6]). k k k k Okubo [10] generalized the Aluthge transform, known as the t -Aluthge transform as follows: For t ∈ [0 , 1], the t -Aluthge transform is defined by, Here, | T | 0 is defined as…”
• Spectral pictures of Aluthge transforms of operators (2001, background): “Moreover, ~(T) \ {0} = ~(~) \ {0} from [ 12, Theorem 1.5 ].”
• Complete contractivity of maps associated with the Aluthge and Duggal transforms (2003, background): “It is well-known (and not difficult to see, cf. [ 4 ]) that”
• Local Spectral Theory of Linear Operators RS and SR (2006, unknown): “In series of papers [7, 8, 9], I.”
• An expression of spectral radius via Aluthge transformation (2001, methodology): “T is called the Aluthge transformation of T . Many researchers have obtained their results by using Aluthge transformation, for example, [1], [2], [3], [4], [6], [ 7 ], [8].”