Zobrazeno 1 - 10
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pro vyhledávání: '"Bochner integral"'
Autor:
Cheung, James
In this short paper, we prove that the Bochner integral form of the operator-valued Riccati equation has a unique solution if and only if its mild form has a unique solution. This implies that the mild and Bochner integral forms of this equation are
Externí odkaz:
http://arxiv.org/abs/2310.20112
Autor:
J. Mikusinski
The theory of the Lebesgue integral is still considered as a difficult theory, no matter whether it is based the concept of measure or introduced by other methods. The primary aim of this book is to give an approach which would be as intelligible and
The Bochner integral is a generalization of the Lebesgue integral, for functions taking their values in a Banach space. Therefore, both its mathematical definition and its formalization in the Coq proof assistant are more challenging as we cannot rel
Externí odkaz:
http://arxiv.org/abs/2201.03242
The like-Lebesgue integral of real-valued measurable functions (abbreviated as \textit{RVM-MI})is the most complete and appropriate integration Theory. Integrals are also defined in abstract spaces since Pettis (1938). In particular, Bochner integral
Externí odkaz:
http://arxiv.org/abs/1905.04480
Akademický článek
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Autor:
Dragomir, Sever Silvestru
Some additive reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.
Externí odkaz:
http://arxiv.org/abs/math/0406158
Autor:
Dragomir, Sever Silvestru
Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in complex Hilbert spaces are given. Applications for complex-valued functions are provided as well.
Externí odkaz:
http://arxiv.org/abs/math/0406159
Autor:
Dragomir, Sever Silvestru
Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.
Externí odkaz:
http://arxiv.org/abs/math/0406107
Autor:
Dragomir, Sever Silvestru
Some quadratic reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.
Externí odkaz:
http://arxiv.org/abs/math/0406108