منابع مشابه
Monotone operators and “bigger conjugate” functions
We study a question posed by Stephen Simons in his 2008 monograph involving “bigger conjugate” (BC) functions and the partial infimal convolution. As Simons demonstrated in his monograph, these function have been crucial to the understanding and advancement of the state-of-the-art of harder problems in monotone operator theory, especially the sum problem. In this paper, we provide some tools fo...
متن کاملTime- Frequency Distributions Based on Conjugate Operators*
New classes of quadratic time-frequency representations (QTFRs), such as the affine, hyperbolic, and power classes, are interesting alternatives to the conventional shift-covariant class (Cohen's class). This paper studies new QTFR classes that retain the inner structure of Cohen's class. These classes are based on a pair of "conjugate" unitary operators and satisfy covariance and marginal prop...
متن کاملConjugate Operators for Finite Maximal Subdiagonal Algebras
Let M be a von Neumann algebra with a faithful normal trace τ , and let H∞ be a finite, maximal, subdiagonal algebra of M. Fundamental theorems on conjugate functions for weak∗-Dirichlet algebras are shown to be valid for noncommutative H∞. In particular the conjugation operator is shown to be a bounded linear map from Lp(M, τ) into Lp(M, τ) for 1 < p < ∞, and to be a continuous map from L1(M, ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1984
ISSN: 0022-247X
DOI: 10.1016/0022-247x(84)90180-x