Quadratic reverses of the triangle inequality for Bochner integral in Hilbert spaces
نویسندگان
چکیده
منابع مشابه
Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-valued Functions in Hilbert Spaces
Some reverses of the continuous triangle inequality for Bochner integral of vectorvalued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.
متن کاملQuadratic Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-valued Functions in Hilbert Spaces
X iv :m at h/ 04 06 10 8v 1 [ m at h. FA ] 6 J un 2 00 4 QUADRATIC REVERSES OF THE CONTINUOUS TRIANGLE INEQUALITY FOR BOCHNER INTEGRAL OF VECTOR-VALUED FUNCTIONS IN HILBERT SPACES SEVER S. DRAGOMIR Abstract. 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 prov...
متن کاملAdditive Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-valued Functions in Hilbert Spaces
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.
متن کاملSome Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-valued Functions in Complex Hilbert Spaces
. In [2], the author has extended the above result for Bochner integrals of vectorvalued functions in real or complex Hilbert spaces. If (H ; 〈·, ·〉) is a Hilbert space over K (K = C,R) and f ∈ L ([a, b] ;H), this means that f : [a, b] → H is Bochner measurable on [a, b] and ∫ b a ‖f (t)‖ dt is finite, and there exists a constant K ≥ 1 and a vector e ∈ H, ‖e‖ = 1 such that (1.3) ‖f (t)‖ ≤ K Re ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2004
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700034699