Monotone operator functions on a set consisting of an interval and a point

1968 ◽  
pp. 25-32
Author(s):  
Ju. L. Šmul′jan
Keyword(s):  
Monotone Operator ◽  
Operator Functions

On monotone operator functions and interpolation

1972 ◽  
Vol 199 (3) ◽  
pp. 91-95 ◽  
Author(s):  
R. E. L. Turner
Keyword(s):  
Monotone Operator ◽  
Operator Functions

scholarly journals Some Extensions of Loewner's Theory of Monotone Operator Functions

2002 ◽  
Vol 189 (1) ◽  
pp. 1-20 ◽  
Author(s):  
D. Alpay ◽  
V. Bolotnikov ◽  
A. Dijksma ◽  
J. Rovnyak
Keyword(s):  
Monotone Operator ◽  
Operator Functions

scholarly journals MONOTONE TRACE FUNCTIONS OF SEVERAL VARIABLES

2005 ◽  
Vol 16 (07) ◽  
pp. 777-785 ◽  
Author(s):  
FRANK HANSEN
Keyword(s):  
Monotone Operator ◽  
Jensen’S Inequality ◽  
Matrix Functions ◽  
Jensen's Inequality ◽  
Expectation Values ◽  
C Algebra ◽  
Several Variables ◽  
Positive Elements ◽  
Operator Functions ◽  
Weak Majorization

We investigate monotone operator functions of several variables under a trace or a trace-like functional. In particular, we prove the inequality τ(x1⋯xn) ≤ τ(y1⋯yn) for a trace τ on a C*-algebra and abelian n-tuples (x1,…,xn) ≤ (y1,…,yn) of positive elements. We formulate and prove Jensen's inequality for expectation values, and we study matrix functions of several variables which are convex or monotone with respect to the weak majorization for matrices.

scholarly journals Convex and monotone operator functions

1995 ◽  
Vol 62 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Jaspal Aujla ◽  
H. Vasudeva
Keyword(s):  
Monotone Operator ◽  
Operator Functions

scholarly journals Fractional Order of Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1395
Author(s):  
Charles Castaing ◽  
Christiane Godet-Thobie ◽  
Le Xuan Truong
Keyword(s):  
Fractional Order ◽  
Monotone Operator ◽  
Maximal Monotone Operator ◽  
Separable Hilbert Space ◽  
Maximal Monotone ◽  
Fractional Flow ◽  
Order Problem ◽  
Absolutely Continuous ◽  
State Dependent ◽  
Fractional Differential

This paper is devoted to the study of evolution problems involving fractional flow and time and state dependent maximal monotone operator which is absolutely continuous in variation with respect to the Vladimirov’s pseudo distance. In a first part, we solve a second order problem and give an application to sweeping process. In a second part, we study a class of fractional order problem driven by a time and state dependent maximal monotone operator with a Lipschitz perturbation in a separable Hilbert space. In the last part, we establish a Filippov theorem and a relaxation variant for fractional differential inclusion in a separable Banach space. In every part, some variants and applications are presented.

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