Invariant norms for C(T)
نویسندگان
چکیده
منابع مشابه
Inequalities for unitarily invariant norms
This paper aims to discuss some inequalities for unitarily invariant norms. We obtain several inequalities for unitarily invariant norms.
متن کاملReparametrization Invariant Norms
This paper explores the concept of reparametrization invariant norm (RPI-norm) for C1-functions that vanish at −∞ and whose derivative has compact support, such as C1 c -functions. An RPI-norm is any norm invariant under composition with orientation-preserving diffeomorphisms. The L∞-norm and the total variation norm are well-known instances of RPI-norms. We prove the existence of an infinite f...
متن کاملSubmultiplicativity Vs Subadditivity for Unitarily Invariant Norms
Let A,B be nonzero positive semidefinite matrices. We prove that ‖AB‖ ‖A‖ ‖B‖ ≤ ‖A + B‖ ‖A‖+ ‖B‖ , ‖A ◦B‖ ‖A‖ ‖B‖ ≤ ‖A + B‖ ‖A‖+ ‖B‖ for any unitarily invariant norm with ‖diag(1, 0, . . . , 0)‖ ≥ 1. Some related inequalities are derived. AMS classification: 15A60, 15A45
متن کاملSome Inequalities for Unitarily Invariant Norms
This paper aims to present some inequalities for unitarily invariant norms. In section 2, we give a refinement of the Cauchy-Schwarz inequality for matrices. In section 3, we obtain an improvement for the result of Bhatia and Kittaneh [Linear Algebra Appl. 308 (2000) 203-211]. In section 4, we establish an improved Heinz inequality for the Hilbert-Schmidt norm. Finally, we present an inequality...
متن کاملUniqueness of Dilation Invariant Norms
Let δa be a nontrivial dilation. We show that every complete norm ‖ · ‖ on L1(RN ) that makes δa from (L1(RN ), ‖ · ‖) into itself continuous is equivalent to ‖ · ‖1. δa also determines the norm of both C0(R ) and Lp(RN ) with 1 < p < ∞ in a weaker sense. Furthermore, we show that even all the dilations do not determine the norm on L∞(RN ).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1972
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-42-3-289-294